Дисертації з теми "Algebras- Commutative rings"
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Malec, Sara. "Intersection Algebras and Pointed Rational Cones." Digital Archive @ GSU, 2013. http://digitalarchive.gsu.edu/math_diss/14.
Повний текст джерелаFerreira, Mauricio de Araujo 1982. "Algebras biquaternionicas : construção, classificação e condições de existencia via formas quadraticas e involuções." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306541.
Повний текст джерелаDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
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Resumo: Neste trabalho, estudamos as álgebras biquaterniônicas, que são um tipo especial de álgebra central simples de dimensão 16, obtida como produto tensorial de duas álgebras de quatérnios. A teoria de formas quadráticas é aplicada para estudarmos critérios de decisão sobre quando uma álgebra biquaterniônica é de divisão e quando duas destas álgebras são isomorfas. Além disso, utilizamos o u-invariante do corpo para discutirmos a existência de álgebras biquaterniônicas de divisão sobre o corpo. Provamos também um resultado atribuído a A. A. Albert, que estabelece critérios para decidir quando uma álgebra central simples de dimensão 16 é de fato uma álgebra biquaterniônica, através do estudo de involuções. Ao longo do trabalho, construímos vários exemplos concretos de álgebras biquaterniônicas satisfazendo propriedades importantes
Mestrado
Algebra
Mestre em Matemática
Bell, Kathleen. "Cayley Graphs of PSL(2) over Finite Commutative Rings." TopSCHOLAR®, 2018. https://digitalcommons.wku.edu/theses/2102.
Повний текст джерелаSekaran, Rajakrishnar. "Fuzzy ideals in commutative rings." Thesis, Rhodes University, 1995. http://hdl.handle.net/10962/d1005221.
Повний текст джерелаHasse, Erik Gregory. "Lowest terms in commutative rings." Diss., University of Iowa, 2018. https://ir.uiowa.edu/etd/6433.
Повний текст джерелаGranger, Ginger Thibodeaux. "Properties of R-Modules." Thesis, University of North Texas, 1989. https://digital.library.unt.edu/ark:/67531/metadc500710/.
Повний текст джерелаJohnston, Ann. "Markov Bases for Noncommutative Harmonic Analysis of Partially Ranked Data." Scholarship @ Claremont, 2011. http://scholarship.claremont.edu/hmc_theses/4.
Повний текст джерелаOyinsan, Sola. "Primary decomposition of ideals in a ring." CSUSB ScholarWorks, 2007. https://scholarworks.lib.csusb.edu/etd-project/3289.
Повний текст джерелаSalt, Brittney M. "MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS." CSUSB ScholarWorks, 2014. https://scholarworks.lib.csusb.edu/etd/31.
Повний текст джерелаGreen, Ellen Yvonne. "Characterizing the strong two-generators of certain Noetherian domains." CSUSB ScholarWorks, 1997. https://scholarworks.lib.csusb.edu/etd-project/1539.
Повний текст джерелаOman, Gregory Grant. "A generalization of Jónsson modules over commutative rings with identity." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1164331653.
Повний текст джерелаDuncan, A. J. "Two topics in commutative ring theory." Thesis, University of Edinburgh, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.234124.
Повний текст джерелаRace, Denise T. (Denise Tatsch). "Containment Relations Between Classes of Regular Ideals in a Ring with Few Zero Divisors." Thesis, North Texas State University, 1987. https://digital.library.unt.edu/ark:/67531/metadc331394/.
Повний текст джерелаCoughlin, Heather. "Classes of normal monomial ideals /." view abstract or download file of text, 2004. http://wwwlib.umi.com/cr/uoregon/fullcit?p3147816//.
Повний текст джерелаTypescript. Includes vita and abstract. Includes bibliographical references (leaves 85-86). Also available for download via the World Wide Web; free to University of Oregon users.
Zagrodny, Christopher Michael. "Algebraic Concepts in the Study of Graphs and Simplicial Complexes." Digital Archive @ GSU, 2006. http://digitalarchive.gsu.edu/math_theses/7.
Повний текст джерелаLavila, Vidal Olga. "On the diagonals of a Rees algebra." Doctoral thesis, Universitat de Barcelona, 1999. http://hdl.handle.net/10803/53578.
Повний текст джерелаL’objectiu d’aquesta memòria és l’estudi de les propietats aritmètiques de les diagonals d’una àlgebra de Rees o, des d’un punt de vista geomètric, dels anells de coordenades homogenis d’immersions d’explosions de varietats projectives al llarg d’una subvarietat. En primer lloc, anem a introduir el tema i els principals problemes que tractarem. A continuació, exposarem els resultats coneguts sobre aquests problemes i finalment farem un resum dels resultats obtinguts en aquesta memòria.
Le, Gros Giovanna. "Minimal approximations for cotorsion pairs generated by modules of projective dimension at most one over commutative rings." Doctoral thesis, Università degli studi di Padova, 2019. http://hdl.handle.net/11577/3423180.
Повний текст джерелаIn questa tesi studiamo le coppie di cotorsione (A, B) generate da classi di R-moduli di dimensione proiettiva al più uno. Siamo interessati nel caso in cui queste coppie di cotorsione ammettano ricoprimenti o inviluppi su anelli commutativi. Più precisamente, indaghiamo la congettura di Enochs per A. Cioè, per A contenuta nella classe P_1, che denota la classe di R-moduli di dimensione proiettiva al più uno, cerchiamo di capire se per A una classe ricoprente allora necessariamente implica che A è chiusa per limiti diretti. In più, con certe restrizioni, descriviamo gli anelli che soddisfano questa proprietà. Ci sono due casi da considerare: il caso di coppia di cotorsione di tipo finito e il caso non di tipo finito. Quando la coppia di cotorsione non è (necessariamente) di tipo finito, dimostriamo che per un anello commutativo semiereditario R, se P_1 è una classe ricoprente, deve essere chiusa per limiti diretti. Questo ci da un esempio di una coppia di cotorsione che non è di tipo finito che soddisfa la congettura di Enochs. Successivamente, analizziamo le coppie di cotorsione di tipo finito. Specificamente, le coppie di cotorsione 1-tilting su anelli commutativi. A questo scopo sono indispensabili il lavoro di Hrbek, che caratterizza tali coppie di cotorsione su anelli commutativi, e il lavoro di Positselski e Bazzoni-Positselski nel loro lavoro sui contramoduli. Consideriamo il caso di una coppia di cotorsione 1-tilting (A, T) su un anello commutativo con una topologia di Gabriel associata G, e studiamo quando (A, T) ammette inviluppi. Troviamo che se T ammette inviluppi, G è una topologia di Gabriel perfetta. Cioè, G viene da un epimorfismo piatto di anelli da R a R_G dove R_G è la localizzazione di R rispetto a G. Inoltre, se G è una topologia di Gabriel perfetta, T ammette inviluppi se e solo se R_G ha dimensione proiettiva al più uno e R/J è un anello perfetto per tutti gli ideali J in G se e solo se R_G ha dimensione proiettiva al più uno e l'anello topologico End(R_G/R) è pro-perfetto. Poi consideriamo il caso in cui A è ricoprente. Dimostriamo che A è ricoprente in Mod-R se e solo se R_G ha dimensione proiettiva al più uno e R_G è un anello perfetto e R/J è perfetto per ogni J in G. In aggiunta, studiamo coppie di cotorsione in generale e studiamo condizioni sufficienti affinchè una approssimazione sia minimale. Inoltre, consideriamo una coppia di cotorsione ereditaria e dimostriamo che se ammette ricoprimenti deve ammettere inviluppi.
Diaz, Noguera Maribel del Carmen. "Sobre derivações localmente nilpotentes dos aneis K[x,y,z] e K[x,y]." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306307.
Повний текст джерелаDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Ciencia da Computação
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Resumo: O principal objetivo desta dissertação é apresentar resultados centrais sobre derivações localmente nilpotentes no anel de polinômios B = k[x1, ..., xn], para n = 3 que foram apresentados por Daniel Daigle em [2 ], [3] e [4] .Para este propósito, introduziremos os conceitos básicos e fundamentais da teoria das derivações num anel e apresentaremos resultados em relação a derivações localmente nilpotentes num domínio de característica zero e de fatorização única. Entre tais resultados está a fórmula Jacobiana que usaremos para descrever o conjunto das derivações equivalentes e localmente nilpotentes de B = k[x, y, z] e o conjunto LND(B), com B = k[x,y]. Também, explicítam-se condições equivalentes para a existência de uma derivação ?-homogênea e localmente nilpotente de B = k[x, y, z] com núcleo k[¿, g], onde {¿}, {g} e B, mdc(?) = mdc(?(¿), ? (g)) = 1
Abstract: In this dissertation we present centraIs results on locally nilpotents derivations in a ring of polynomials B = k[x1, ..., xn], for n = 3, which were presented by Daniel Daigle in [2], [3] and [4]. For this, we introduce basic fundamenta1 results of the theory of derivations in a ring and we present results on locally nilpotents derivations in a domain with characteristic zero and unique factorization. One of these results is the Jacobian forrnula that we use to describe the set of the equivalent loca11y nilpotents derivations of B = k[x, y, z] and the set LND(B) where B = k[x, y]. Moreover, we give equivalent conditions to the existence of a ?-homogeneous locally nilpotent derivation in the ring B = k[x, y, z] with kernel k[¿, g], {¿} and {g} e B, and mdc(?) = mdc(?(¿), ? (g)) = 1
Mestrado
Algebra
Mestre em Matemática
Byun, Eui Won James. "Affine varieties, Groebner basis, and applications." CSUSB ScholarWorks, 2000. https://scholarworks.lib.csusb.edu/etd-project/1611.
Повний текст джерелаBerni, Jean Cerqueira. "Some algebraic and logical aspects of C∞-Rings." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-14022019-203839/.
Повний текст джерелаConforme observado por I. Moerdijk e G. Reyes em [63], os anéis C∞ têm sido estudados especialmente tendo em vista suas aplicações em Teoria de Singularidades e para construir toposes que sirvam de modelos para a Geometria Diferencial Sintética. Neste trabalho, seguimos um caminho complementar, aprofundando nosso conhecimento sobre eles por um viés mais puro, fazendo uso da Teoria das Categorias e os analisando a partir de pontos de vista algébrico e lógico-categorial. Iniciamos o trabalho apresentando uma sistematização abrangente dos fatos fundamentais da teoria (equacional) dos anéis C∞, distribuídos aqui e ali na literatura atual - a maioria sem demonstrações - mas que servem de base para a teoria. Na sequência, desenvolvemos alguns tópicos do que denominamos Álgebra Comutativa C∞, expandindo resultados parciais de [66] e [67]. Realizamos um estudo sistemático dos anéis C∞ von Neumann-regulares - na linha do estudo algébrico realizado em [2]- e apresentamos alguns resultados interessantes a seu respeito, juntamente com sua relação (funtorial) com os espaços booleanos. Estudamos algumas noções pertinentes à Teoria de Feixes para anéis ∞, tais como espaços (localmente) ∞anelados e o sítio de Zariski liso. Finalmente, descrevemos toposes classicantes para a teoria (algébrica) dos anéis C∞, a teoria (coerente) dos anéis locais C∞ e a teoria (algébrica) dos anéis C∞ von Neumann regulares.
Crawford, Simon Philip. "Singularities of noncommutative surfaces." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/31543.
Повний текст джерелаMartini, Lorenzo. "Local coherence of hearts in the derived category of a commutative ring." Doctoral thesis, Università degli studi di Trento, 2022. http://hdl.handle.net/11572/354322.
Повний текст джерелаGokhale, Dhananjay R. "Resolutions mod I, Golod pairs." Diss., Virginia Tech, 1992. http://hdl.handle.net/10919/39431.
Повний текст джерелаPh. D.
Mbirika, Abukuse III. "Analysis of symmetric function ideals: towards a combinatorial description of the cohomology ring of Hessenberg varieties." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/708.
Повний текст джерелаSteward, Michael. "Extending the Skolem Property." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492517341492202.
Повний текст джерелаDi, Lorenzo Andrea. "Integral Chow ring and cohomological invariants of stacks of hyperelliptic curves." Doctoral thesis, Scuola Normale Superiore, 2019. http://hdl.handle.net/11384/85744.
Повний текст джерелаUgolini, Matteo. "K3 surfaces." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18774/.
Повний текст джерелаTête, Claire. "Profondeur, dimension et résolutions en algèbre commutative : quelques aspects effectifs." Thesis, Poitiers, 2014. http://www.theses.fr/2014POIT2288/document.
Повний текст джерелаThis Commutative Algebra thesis focuses mainly on the depth theory. We try to provide an approach without noetherian hypothesis in order to escape prime ideals and to handle only basic and explicit concepts. We study the algebraic complexes of Koszul and Cech and their cohomological properties by using simple results on the cohomology of the totalization of a bicomplex. In the Cech cohomology context we established the long exact sequence of Mayer-Vietoris only with a treatment based on the elements. Another important concept is that of Krull dimension. Its characterization in terms of monoids allows us to show expeditiously the vanishing Grothendieck theorem in Cech cohomology.We also provide an algorithm to complete a omogeneous polynomial in a h.s.o.p.. The depth is closely related to the theory of finite free/projective resolutions. We report a generalization of the Ferrand-Vasconcelos theorem due to Jouanolou. In addition, we review some results involving the depth of the ideals of expected ranks in a finite free resolution.We revisit, in a particular case, a construction due to Tate. This allows us to give an effective projective resolution of the ideal of a point of a smooth hypersurface. Finally, we discuss the regularity theory in dimension 1 by studying invertible ideals and provide an algorithm implemented in Magma computing the ring of integers of a number field
"Results on algebraic structures: A-algebras, semigroups and semigroup rings." 1998. http://library.cuhk.edu.hk/record=b6073113.
Повний текст джерелаThesis (Ph.D.)--Chinese University of Hong Kong, 1998.
Includes bibliographical references and index.
Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.
Mode of access: World Wide Web.
Abstracts in English and Chinese.
Cecil, Anthony John. "Lie isomorphisms of triangular and block-triangular matrix algebras over commutative rings." Thesis, 2016. http://hdl.handle.net/1828/7471.
Повний текст джерелаGraduate
Khatkar, Meenu. "Units, idempotents, and ideals in certain algebras over commutative rings." Thesis, 2018. http://eprint.iitd.ac.in:80//handle/2074/7991.
Повний текст джерелаLaGrange, John D. "Zero-Divisor Graphs, Commutative Rings of Quotients, and Boolean Algebras." 2008. http://trace.tennessee.edu/utk_graddiss/393.
Повний текст джерелаTlharesakgosi, Batsile. "Topics on z-ideals of commutative rings." Diss., 2017. http://hdl.handle.net/10500/23619.
Повний текст джерелаMathematical Sciences
M. Sc. (Mathematics)
Macoosh, Ruth Rebekka. "Algebraic closures for commutative rings." Thesis, 1987. http://spectrum.library.concordia.ca/4791/1/ML35523.pdf.
Повний текст джерела"Theory of distributive modules and related topics." Chinese University of Hong Kong, 1992. http://library.cuhk.edu.hk/record=b5887044.
Повний текст джерелаThesis (M.Phil.)--Chinese University of Hong Kong, 1992.
Includes bibliographical references (leaves 80-81).
Introduction --- p.iii
Chapter 1 --- Distributive Modules --- p.1
Chapter 1.1 --- Basic Definitions --- p.1
Chapter 1.2 --- Distributive modules --- p.3
Chapter 1.3 --- Direct sum of distributive modules --- p.9
Chapter 1.4 --- Endomorphisms of a distributive module --- p.13
Chapter 1.5 --- Distributive modules satisfying chain conditions --- p.20
Chapter 2 --- Rings with distributive lattices of right ideals --- p.25
Chapter 2.1 --- Rings of quotients of right D-rings --- p.25
Chapter 2.2 --- Localization of right D-rings --- p.28
Chapter 2.3 --- Reduced primary factorizations in right ND-rings --- p.31
Chapter 2.4 --- ND-rings --- p.38
Chapter 3 --- Distributive modules over commutative rings --- p.43
Chapter 3.1 --- Multiplication modules --- p.43
Chapter 3.2 --- Properties of distributive modules over commutative rings --- p.48
Chapter 3.3 --- Distributive modules over arithematical rings --- p.52
Chapter 4 --- Chinese Modules and Universal Chinese rings --- p.59
Chapter 4.1 --- Introduction --- p.59
Chapter 4.2 --- Chinese Modules and CRT modules --- p.61
Chapter 4.3 --- Universal Chinese Rings --- p.65
Chapter 4.4 --- Chinese modules over Noetherian domains --- p.70
Chapter 4.5 --- Remarks on CRT modules --- p.77
Bibliography --- p.80
Sithole, Maria Lindiwe. "Frames of ideals of commutative f-rings." Diss., 2018. http://hdl.handle.net/10500/25328.
Повний текст джерелаMathematical Sciences
M. Sc. (Mathematics)
"Generalized injectivity of non-commutative ring theory." Chinese University of Hong Kong, 1994. http://library.cuhk.edu.hk/record=b5895452.
Повний текст джерелаThesis (M.Phil.)--Chinese University of Hong Kong, 1994.
Includes bibliographical references (leaves 79-81).
Introduction
Chapter 1 --- Preliminaries --- p.1
Chapter 1.1 --- Chain Conditions --- p.4
Chapter 1.2 --- Categories of Modules --- p.5
Chapter 1.3 --- Projectivity and Injectivity --- p.5
Chapter 2 --- Generalization on CS modules --- p.11
Chapter 2.1 --- Introduction --- p.11
Chapter 2.2 --- Preliminaries --- p.12
Chapter 2.3 --- CS ring ´ؤ A generalization of injectivity --- p.16
Chapter 2.4 --- GCS ring ´ؤ A further generalization of CS ring --- p.19
Chapter 2.5 --- Generalized CS-modules --- p.24
Chapter 2.5.1 --- Direct Sum of Uniform Modules --- p.25
Chapter 2.5.2 --- GCS modules as direct sum of uniform modules --- p.28
Chapter 3 --- Ascending Chain Condition on Essential Submodules --- p.35
Chapter 3.1 --- Introduction --- p.35
Chapter 3.2 --- Preliminaries --- p.36
Chapter 3.3 --- Continuous rings with ACC on essential ideals --- p.38
Chapter 3.4 --- Analogous Results On CS-modules --- p.44
Chapter 3.5 --- Weak CS -modules --- p.50
Chapter 3.5.1 --- Decomposition of Weak CS-modules --- p.53
Chapter 3.6 --- Generalization of GCS-modules --- p.54
Chapter 3.7 --- On CESS-modules --- p.57
Chapter 3.7.1 --- On the decomposition of CESS-modules --- p.59
Chapter 4 --- Non-Singular Rings --- p.63
Chapter 4.1 --- CS-modules and CS-endomorphism rings --- p.63
Chapter 4.2 --- Categorical Equivalence and Morita Equivalence --- p.70
Chapter 4.3 --- Categories of CS-modules --- p.74
Bibliography --- p.79
Moore, William F. "Cohomology of products of local rings." 2008. http://proquest.umi.com/pqdweb?did=1555891251&sid=7&Fmt=2&clientId=14215&RQT=309&VName=PQD.
Повний текст джерелаTitle from title screen (site viewed Oct. 31, 2008). PDF text: v, 54 p. : ill. ; 769 K. UMI publication number: AAT 3313102. Includes bibliographical references. Also available in microfilm and microfiche formats.
Cazaran, Jilyana. "Artinian rings, finite principal ideal rings and algebraic error-correcting codes." Thesis, 1998. https://eprints.utas.edu.au/19055/1/whole_CazaranJilyana1998_thesis.pdf.
Повний текст джерелаFrancis, Maria. "Grobuer Basis Algorithms for Polynomial Ideal Theory over Noetherian Commutative Rings." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/3543.
Повний текст джерелаFrancis, Maria. "Grobuer Basis Algorithms for Polynomial Ideal Theory over Noetherian Commutative Rings." Thesis, 2017. http://etd.iisc.ernet.in/2005/3543.
Повний текст джерелаUliczka, Jan. "Graded Rings and Hilbert Functions." Doctoral thesis, 2010. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201007066381.
Повний текст джерела(6598226), Avram W. Steiner. "A-Hypergeometric Systems and D-Module Functors." Thesis, 2019.
Знайти повний текст джерелаGrande, Vincent. "Exakte Moduln über dem von Manuel Köhler beschriebenen Ring." Masterarbeit, 2018. http://hdl.handle.net/11858/00-1735-0000-002E-E4FD-D.
Повний текст джерелаNadareishvili, George. "A classification of localizing subcategories by relative homological algebra." Doctoral thesis, 2015. http://hdl.handle.net/11858/00-1735-0000-0028-867A-A.
Повний текст джерела