Relevant bibliographies by topics / Thomason filtration

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Thomason filtration'

Author: Grafiati
Published: 11 March 2023

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Journal articles on the topic "Thomason filtration"

1

Martini, Lorenzo, and Carlos E. Parra. "Local coherence of hearts associated with Thomason filtrations." Journal of Pure and Applied Algebra 226, no. 10 (October 2022): 107075. http://dx.doi.org/10.1016/j.jpaa.2022.107075.

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Dissertations / Theses on the topic "Thomason filtration"

1

Martini, 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.

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Abstract:
Approximation theory is a fundamental tool in order to study the representation theory of a ring R. Roughly speaking, it consists in determining suitable additive or abelian subcategories of the whole module category Mod-R with nice enough functorial properties. For example, torsion theory is a well suited incarnation of approximation theory. Of course, such an idea has been generalised to the additive setting itself, so that both Mod-R and other interesting categories related with R may be linked functorially. By the seminal work of Beilinson, Bernstein and Deligne (1982), the derived category of the ring turns out to admit useful torsion theories, called t-structures: they are pairs of full subcategories of D(R) whose intersection, called the heart, is always an abelian category. The so-called standard t-structure of D(R) has as its heart the module category Mod-R itself. Since then a lot of results devoted to the module theoretic characterisation of the hearts have been achieved, providing evidence of the usefulness of the t-structures in the representation theory of R. In 2020, following a research line promoted by many other authors, Saorin and Stovicek proved that the heart of any compactly generated t-structure is always a locally finitely presented Grothendieck categories (actually, this is true for any t-structure in a triangulated category with coproducts). Essentially, this means that the hearts of D(R) come equipped with a finiteness condition miming that one valid in Mod-R. In the present thesis we tackle the problem of characterising when the hearts of certain compactly generated t-structures of a commutative ring are even locally coherent. In this commutative context, after the works of Neeman and Alonso, Jeremias and Saorin, compactly generated t-structures turned out to be very interesting over a noetherian ring, for they are in bijection with the Thomason filtrations of the prime spectrum. In other words, they are classified by geometric objects, moreover their constituent subcategories have a precise cohomological description. However, if the ascending chain condition lacks, such classification is somehow partial, though provided by Hrbek. The crucial point is that the constituents of the t-structures have a different description w.r.t. that available in the noetherian setting, yet if one copies the latter for an arbitrary ring still obtains a t-structure, but it is not clear whether it must be compactly generated. Consequently, pursuing the study of the local coherence of the hearts given by a Thomason filtration, we ended by considering two t-structures. Our technique in order to face the lack of the ascending chain condition relies on a further approximation of the hearts by means of suitable torsion theories. The main results of the thesis are the following: we prove that for the so-called weakly bounded below Thomason filtrations the two t-structures have the same heart (therefore it is always locally finitely presented), and we show that they coincide if and only they are both compactly generated. Moreover, we achieve a complete characterisation of the local coherence for the hearts of the Thomason filtrations of finite length.
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2

Kupetz, Michael [Verfasser], Thomas [Akademischer Betreuer] [Gutachter] Becker, and Jörg [Gutachter] Hinrichs. "Comparative Identification of Filtration-Inhibitory Substances in Membrane and Diatomaceous Earth Filtration of Beer / Michael Kupetz ; Gutachter: Jörg Hinrichs, Thomas Becker ; Betreuer: Thomas Becker." München : Universitätsbibliothek der TU München, 2017. http://d-nb.info/1138027685/34.

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3

Fundneider, Thomas Verfasser], Susanne [Akademischer Betreuer] [Lackner, and Peter [Akademischer Betreuer] Cornel. "Filtration und Aktivkohleadsorption zur weitergehenden Aufbereitung von kommunalem Abwasser – Phosphor- und Spurenstoffentfernung – / Thomas Fundneider ; Susanne Lackner, Peter Cornel." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2020. http://d-nb.info/121481039X/34.

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4

Fundneider, Thomas [Verfasser], Susanne [Akademischer Betreuer] Lackner, and Peter [Akademischer Betreuer] Cornel. "Filtration und Aktivkohleadsorption zur weitergehenden Aufbereitung von kommunalem Abwasser – Phosphor- und Spurenstoffentfernung – / Thomas Fundneider ; Susanne Lackner, Peter Cornel." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2020. http://d-nb.info/121481039X/34.

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Sandhu, Cornelius Sukhinder Singh [Verfasser], Peter-Wolfgang [Akademischer Betreuer] [Gutachter] Gräber, Thomas [Akademischer Betreuer] [Gutachter] Grischek, Peter [Akademischer Betreuer] Werner, and Pradeep [Gutachter] Kumar. "A Concept for the Investigation of Riverbank Filtration Sites for Potable Water Supply in India / Cornelius Sukhinder Singh Sandhu ; Gutachter: Peter-Wolfgang Gräber, Thomas Grischek, Pradeep Kumar ; Peter-Wolfgang Gräber, Thomas Grischek, Peter Werner." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://d-nb.info/1114067970/34.

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Sandhu, Cornelius Sukhinder Singh [Verfasser], Peter-Wolfgang Akademischer Betreuer] [Gutachter] Gräber, Thomas [Akademischer Betreuer] [Gutachter] Grischek, Peter [Akademischer Betreuer] Werner, and Pradeep [Gutachter] [Kumar. "A Concept for the Investigation of Riverbank Filtration Sites for Potable Water Supply in India / Cornelius Sukhinder Singh Sandhu ; Gutachter: Peter-Wolfgang Gräber, Thomas Grischek, Pradeep Kumar ; Peter-Wolfgang Gräber, Thomas Grischek, Peter Werner." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://d-nb.info/1114067970/34.

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7

Löwenberg, Jonas Verfasser], Matthias [Akademischer Betreuer] [Wessling, Johannes [Akademischer Betreuer] Pinnekamp, and Thomas [Akademischer Betreuer] Wintgens. "Hybrid processes utilizing powdered activated carbon adsorption and filtration for the removal of micropollutants and efficient water management / Jonas Löwenberg ; Matthias Weßling, Johannes Pinnekamp, Thomas Wintgens." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1156923670/34.

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Löwenberg, Jonas [Verfasser], Matthias [Akademischer Betreuer] Wessling, Johannes [Akademischer Betreuer] Pinnekamp, and Thomas [Akademischer Betreuer] Wintgens. "Hybrid processes utilizing powdered activated carbon adsorption and filtration for the removal of micropollutants and efficient water management / Jonas Löwenberg ; Matthias Weßling, Johannes Pinnekamp, Thomas Wintgens." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1156923670/34.

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9

Wang, Weishi [Verfasser], Sascha E. [Akademischer Betreuer] Oswald, Jan [Akademischer Betreuer] Fleckenstein, Sascha [Gutachter] Oswald, Jan [Gutachter] Fleckenstein, and Thomas [Gutachter] Grischek. "Influence of river reconstruction at a bank filtration site : water quality field investigation and 3D modelling of groundwater flow and heat transport / Weishi Wang ; Gutachter: Sascha Oswald, Jan Fleckenstein, Thomas Grischek ; Sascha E. Oswald, Jan Fleckenstein." Potsdam : Universität Potsdam, 2020. http://d-nb.info/1226217265/34.

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