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Author: Mike Prest
Publisher:
ISBN: 9781139649308
Category : MATHEMATICS
Languages : en
Pages : 798
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Book Description
A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum.
Author: Mike Prest
Publisher: Cambridge University Press
ISBN: 0521873088
Category : Mathematics
Languages : en
Pages : 798
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Book Description
A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum. It may be used as an introductory graduate-level text, providing relevant background material and a wealth of illustrated examples. An extensive index and thorough referencing also make this book an ideal reference.
Author: Mike Prest
Publisher: American Mathematical Soc.
ISBN: 0821847678
Category : Mathematics
Languages : en
Pages : 122
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Book Description
Most of the model theory of modules works, with only minor modifications, in much more general additive contexts (such as functor categories, categories of comodules, categories of sheaves). Furthermore, even within a given category of modules, many subcategories form a ``self-sufficient'' context in which the model theory may be developed without reference to the larger category of modules. The notion of a definable additive category covers all these contexts. The (imaginaries) language which one uses for model theory in a definable additive category can be obtained from the category (of structures and homomorphisms) itself, namely, as the category of those functors to the category of abelian groups which commute with products and direct limits. Dually, the objects of the definable category--the modules (or functors, or comodules, or sheaves)--to which that model theory applies may be recovered as the exact functors from the, small abelian, category (the category of pp-imaginaries) which underlies that language.
Author: Thomas C. Davis
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
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Book Description
Author: Robert Ernest Michaelis
Publisher:
ISBN:
Category : Metals
Languages : en
Pages : 0
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Book Description
Author: Graham J. Leuschke
Publisher: American Mathematical Soc.
ISBN: 1470435764
Category : Algebra
Languages : en
Pages : 296
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Book Description
This volume contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held from August 10-19, 2016, at Syracuse University, Syracuse, NY. Included are three survey articles based on short courses in the areas of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories. Other articles represent contributions to areas in and related to representation theory, such as noncommutative resolutions, twisted commutative algebras, and upper cluster algebras.
Author: Henning Krause
Publisher: Cambridge University Press
ISBN: 1108985815
Category : Mathematics
Languages : en
Pages : 518
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Book Description
Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering pure-injectives, definable subcategories, and Ziegler spectra. With its clear, detailed exposition of important topics in modern representation theory, many of which were unavailable in one volume until now, it deserves a place in every representation theorist's library.
Author: Arthur James Wells
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 2744
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Book Description
Author: M. O. Manasreh
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 552
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Book Description
The MRS Symposium Proceeding series is an internationally recognised reference suitable for researchers and practitioners.
Author: J. F. Humphreys
Publisher:
ISBN: 9780521540506
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Revised and updated version of popular textbook. New sections and numerous problems.
Author: Yves Crama
Publisher: Cambridge University Press
ISBN: 0521847524
Category : Computers
Languages : en
Pages : 781
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Book Description
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.
