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Books on the topic 'Finite algebraic structures'

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Published: 18 November 2023

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1

Kandasamy, W. B. Vasantha. Finite neutrosophic complex numbers. Columbus, Ohio: Zip Publishing, 2011.

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2

Flannery, D. L. (Dane Laurence), 1965-, ed. Algebraic design theory. Providence, R.I: American Mathematical Society, 2011.

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3

WAIFI 2010 (2010 Istanbul, Turkey). Arithmetic of finite fields: Third international workshop, WAIFI 2010, Istanbul, Turkey, June 27-30, 2010 ; proceedings. Berlin ; New York: Springer, 2010.

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4

Germany) International Conference on Finite Fields and Applications (11th 2013 Magdeburg. Topics in finite fields: 11th International Conference on Finite Fields and Their Applications, July 22--26, 2013, Magdeburg, Germany. Edited by Kyureghyan Gohar 1974 editor, Mullen Gary L. editor, and Pott Alexander 1961 editor. Providence, Rhode Island: American Mathematical Society, 2015.

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5

Francisco, Rodríguez-Henríquez, and SpringerLink (Online service), eds. Arithmetic of Finite Fields: 4th International Workshop, WAIFI 2012, Bochum, Germany, July 16-19, 2012. Proceedings. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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6

Ralph, McKenzie, ed. The structure of finite algebras. Providence, R.I: American Mathematical Society, 1988.

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7

Jungnickel, D. Finite fields: Structure and arithmetics. Mannheim: B.I. Wissenschaftsverlag, 1993.

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8

Adams, William J. Finite mathematics, models, and structure. Dubuque, Iowa: Kendall/Hunt Pub. Co., 1995.

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9

Adams, William J. Finite mathematics, models, and structure. [United States]: Xlibris Corporation, 2009.

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10

Matthew, Valeriote, ed. The structure of decidable locally finite varieties. Boston: Birkhäuser, 1989.

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11

Morse, Robert Fitzgerald, editor of compilation, Nikolova-Popova, Daniela, 1952- editor of compilation, and Witherspoon, Sarah J., 1966- editor of compilation, eds. Group theory, combinatorics and computing: International Conference in honor of Daniela Nikolova-Popova's 60th birthday on Group Theory, Combinatorics and Computing, October 3-8, 2012, Florida Atlantic University, Boca Raton, Florida. Providence, Rhode Island: American Mathematical Society, 2013.

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12

1943-, Seitz Gary M., ed. Unipotent and nilpotent classes in simple algebraic groups and lie algebras. Providence, R.I: American Mathematical Society, 2012.

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13

Katcher, Pollatsek Harriet Suzanne, ed. Difference sets: Connecting algebra, combinatorics and geometry. Providence, Rhode Island: American Mathematical Society, 2013.

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14

Lie algebras, lie superalgebras, vertex algebras, and related topics: Southeastern Lie Theory Workshop Series 2012-2014 : Categorification of Quantum Groups and Representation Theory, April 21-22, 2012, North Carolina State University : Lie Algebras, Vertex Algebras, Integrable Systems and Applications, December 16-18, 2012, College of Charleston : Noncommutative Algebraic Geometry and Representation Theory, May 10-12, 2013, Louisiana State Vniversity : Representation Theory of Lie Algebras and Lie Superalgebras, May 16-17, 2014, University of Georgia. Providence, Rhode Island: American Mathematical Society, 2016.

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15

1932-, Bass Hyman, and Lam, T. Y. (Tsit-Yuen), 1942-, eds. Algebra. Providence, R.I: American Mathematical Society, 2010.

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16

Bhattacharya, Siddhartha, Tarun Das, Anish Ghosh, and Riddhi Shah. Recent trends in ergodic theory and dynamical systems: International conference in honor of S.G. Dani's 65th birthday, December 26--29, 2012, Vadodara, India. Providence, Rhode Island: American Mathematical Society, 2015.

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17

Latin American Algebra Colloquium (18th 2009 São Pedro, São Paulo, Brazil). Groups, algebras and applications: XVIII Latin American Algebra Colloquium, August 3-8, 2009, São Pedro, SP, Brazil. Edited by Milies César Polcino. Providence, R.I: American Mathematical Society, 2011.

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18

Jaco, William H. Topology and geometry in dimension three: Triangulations, invariants, and geometric structures : conference in honor of William Jaco's 70th birthday, June 4-6, 2010, Oklahoma State University, Stillwater, OK. Providence, R.I: American Mathematical Society, 2011.

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19

author, Winternitz Pavel, ed. Classification and identification of Lie algebras. Providence, Rhode Island: American Mathematical Society, 2014.

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20

Session, Ring Theory. Ring theory and its applications: Ring Theory Session in honor of T.Y. Lam on his 70th birthday at the 31st Ohio State-Denison Mathematics Conference, May 25-27, 2012, The Ohio State University, Columbus, OH. Edited by Lam, T. Y. (Tsit-Yuen), 1942- honouree, Huynh, Dinh Van, 1947- editor of compilation, and Ohio State-Denison Mathematics Conference. Providence, Rhode Island: American Mathematical Society, 2014.

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21

Stanford Symposium on Algebraic Topology: Applications and New Directions (2012 : Stanford, Calif.), ed. Algebraic topology: Applications and new directions : Stanford Symposium on Algebraic Topology: Applications and New Directions, July 23--27, 2012, Stanford University, Stanford, CA. Providence, Rhode Island: American Mathematical Society, 2014.

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22

1943-, Wiegand Roger, ed. Cohen-Macaulay representations. Providence, R.I: American Mathematical Society, 2012.

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23

Igusa, Kiyoshi, 1949- editor of compilation, Martsinkovsky, A. (Alex), editor of compilation, and Todorov, G. (Gordana), editor of compilation, eds. Expository lectures on representation theory: Maurice Auslander Distinguished Lectures and International Conference, April 25-30, 2012, Woods Hole Oceanographic Institute, Quissett Campus, Falmouth, MA. Providence, Rhode Island: American Mathematical Society, 2014.

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24

Argentina) Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry (3rd 2010 Buenos Aires. Topics in noncommutative geometry: Third Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry, Universidad de Buenos Aires, Buenos Aires, Argentina, July 26-August 6, 2010. Edited by Cortiñas, Guillermo, editor of compilation. Providence, RI: American Mathematical Society, 2012.

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25

Koli︠a︡da, S. F. Dynamics and numbers: A special program, June 1-July 31, 2014, Max Planck Institute for Mathematics, Bonn, Germany : international conference, July 21-25, 2014, Max Planck Institute for Mathematics, Bonn, Germany. Edited by Max-Planck-Institut für Mathematik. Providence, Rhode Island: American Mathematical Society, 2016.

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26

Tao, Terence. Hilbert's fifth problem and related topics. Providence, Rhode Island: American Mathematical Society, 2014.

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27

Ballester-Bolinches, Adolfo, and Luis M. Ezquerro. Classes of Finite Groups. Springer, 2010.

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28

Classes of Finite Groups. Springer, 2006.

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29

Grätzer, George. The Congruences of a Finite Lattice. Springer, 2008.

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30

Near Polygons (Frontiers in Mathematics). Birkhäuser, 2010.

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31

Congruences of a Finite Lattice: A Proof-By-Picture Approach. Birkhauser Verlag, 2007.

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32

Grätzer, George. Congruences of a Finite Lattice: A Proof-By-Picture Approach. Birkhauser Verlag, 2016.

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33

Grätzer, George. Congruences of a Finite Lattice: A Proof-By-Picture Approach. Springer International Publishing AG, 2018.

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34

Grätzer, George. The Congruences of a Finite Lattice: A Proof-by-Picture Approach. Birkhäuser Boston, 2005.

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35

Lavrauw, Michel, 1974- editor of compilation, ed. Theory and applications of finite fields: 10th International Conference on Finite Fields and Their Applications, July 11-15, 2011, Ghent, Belgium. 2012.

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36

Farb, Benson, and Dan Margalit. Moduli Space. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0013.

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This chapter focuses on the moduli space of Riemann surfaces. The moduli space parameterizes many different kinds of structures on Sɡ, such as isometry classes of hyperbolic structures on S, conformal classes of Riemannian metrics on S, biholomorphism classes of complex structures on S, and isomorphism classes of smooth algebraic curves homeomorphic to S. The chapter first considers the moduli space as the quotient of Teichmüller space before discussing the moduli space of the torus. It then examines the theorem (due to Fricke) that Mod(S) acts properly discontinuously on Teich(S), with a finite-index subgroup of Mod(S) acting freely such that M(S) is finitely covered by a smooth aspherical manifold. The chapter also looks at Mumford's compactness criterion, which describes what it means to go to infinity in M(S), and concludes by showing that M(Sɡ) is very close to being a classifying space for Sɡ-bundles.

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37

McKenzie, Ralph, and Matthew Valeriote. Structure of Decidable Locally Finite Varieties. Birkhauser Verlag, 2012.

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38

Medts, Tom De. An Algebraic Structure For Moufang Quadrangles (Memoirs of the American Mathematical Society). American Mathematical Society, 2005.

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39

Adams, William. Finite Mathematics, Models and Structures. Kendall/Hunt Publishing Company, 1999.

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40

Structure of Decidable Locally Finite Varieties. Birkhäuser, 2011.

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41

An Introduction To Central Simple Algebras And Their Applications To Wireless Communication. American Mathematical Society, 2013.

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42

Homotopy of Operads and Grothendieck-Teichmuller Groups : Part 1: The Algebraic Theory and Its Topological Background. American Mathematical Society, 2017.

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43

Smith, Stephen D. Subgroup Complexes. Amer Mathematical Society, 1997.

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44

Guo, Wenbin. Structure Theory for Canonical Classes of Finite Groups. Springer London, Limited, 2015.

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45

Guo, Wenbin. Structure Theory for Canonical Classes of Finite Groups. Springer Berlin / Heidelberg, 2015.

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46

Guo, Wenbin. Structure Theory for Canonical Classes of Finite Groups. Springer, 2016.

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47

Farb, Benson, and Dan Margalit. The Symplectic Representation and the Torelli Group. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0007.

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This chapter discusses the basic properties and applications of a symplectic representation, denoted by Ψ‎, and its kernel, called the Torelli group. After describing the algebraic intersection number as a symplectic form, the chapter presents three different proofs of the surjectivity of Ψ‎, each illustrating a different theme. It also illustrates the usefulness of the symplectic representation by two applications to understanding the algebraic structure of Mod(S). First, the chapter explains how this representation is used by Serre to prove the theorem that Mod(Sɡ) has a torsion-free subgroup of finite index. It thens uses the symplectic representation to prove, following Ivanov, the following theorem of Grossman: Mod(Sɡ) is residually finite. It also considers some of the pioneering work of Dennis Johnson on the Torelli group. In particular, a Johnson homomorphism is constructed and some of its applications are given.

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48

Sagan, Bruce E. Combinatorics: The Art of Counting. American Mathematical Society, 2021.

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49

Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

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This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of the variety. Including notions from other areas, e.g., singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs and exercises are provided. The final chapter summarizes recent research directions, such as connections to orbifolds and the representation theory of finite groups via the McKay correspondence, stability conditions on triangulated categories, and the notion of the derived category of sheaves twisted by a gerbe.

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50

Topics in Hyperplane Arrangements. American Mathematical Society, 2017.

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