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Author : Mike Prest
Publisher :
ISBN 13 : 9781139649308
Total Pages : 798 pages
Book Rating : 4.6/5 (493 download)
Download or read book Purity, Spectra and Localisation written by Mike Prest and published by . This book was released on 2014-05-14 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum.
Author : Mike Prest
Publisher : Cambridge University Press
ISBN 13 : 1139643894
Total Pages : 798 pages
Book Rating : 4.1/5 (396 download)
Download or read book Purity, Spectra and Localisation written by Mike Prest and published by Cambridge University Press. This book was released on 2009-06-04 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is possible to associate a topological space to the category of modules over any ring. This space, the Ziegler spectrum, is based on the indecomposable pure-injective modules. Although the Ziegler spectrum arose within the model theory of modules and plays a central role in that subject, this book concentrates specifically on its algebraic aspects and uses. The central aim is to understand modules and the categories they form through associated structures and dimensions, which reflect the complexity of these, and similar, categories. The structures and dimensions considered arise particularly through the application of model-theoretic and functor-category ideas and methods. Purity and associated notions are central, localisation is an ever-present theme and various types of spectrum play organising roles. This book presents a unified, coherent account of material which is often presented from very different viewpoints and clarifies the relationships between these various approaches.
Author : Mike Prest
Publisher : American Mathematical Soc.
ISBN 13 : 0821847678
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)
Download or read book Definable Additive Categories: Purity and Model Theory written by Mike Prest and published by American Mathematical Soc.. This book was released on 2011-02-07 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Graham J. Leuschke
Publisher : American Mathematical Soc.
ISBN 13 : 1470435764
Total Pages : 296 pages
Book Rating : 4.4/5 (74 download)
Download or read book Representations of Algebras written by Graham J. Leuschke and published by American Mathematical Soc.. This book was released on 2018 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Arthur James Wells
Publisher :
ISBN 13 :
Total Pages : 2744 pages
Book Rating : 4.F/5 ( download)
Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2009 with total page 2744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henning Krause
Publisher : Cambridge University Press
ISBN 13 : 1108985815
Total Pages : 518 pages
Book Rating : 4.1/5 (89 download)
Download or read book Homological Theory of Representations written by Henning Krause and published by Cambridge University Press. This book was released on 2021-11-18 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : M. O. Manasreh
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.3/5 (91 download)
Download or read book Physics and Applications of Defects in Advanced Semiconductors: Volume 325 written by M. O. Manasreh and published by . This book was released on 1994-04-18 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MRS Symposium Proceeding series is an internationally recognised reference suitable for researchers and practitioners.
Author :
Publisher :
ISBN 13 :
Total Pages : 832 pages
Book Rating : 4.3/5 (91 download)
Download or read book Physics Briefs written by and published by . This book was released on 1987 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bruno Courcelle
Publisher : Cambridge University Press
ISBN 13 : 1139644009
Total Pages : 743 pages
Book Rating : 4.1/5 (396 download)
Download or read book Graph Structure and Monadic Second-Order Logic written by Bruno Courcelle and published by Cambridge University Press. This book was released on 2012-06-14 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.
Author : Yves Crama
Publisher : Cambridge University Press
ISBN 13 : 0521847524
Total Pages : 781 pages
Book Rating : 4.5/5 (218 download)
Download or read book Boolean Models and Methods in Mathematics, Computer Science, and Engineering written by Yves Crama and published by Cambridge University Press. This book was released on 2010-06-28 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.
Author : Nader Vakil
Publisher : Cambridge University Press
ISBN 13 : 1107002028
Total Pages : 587 pages
Book Rating : 4.1/5 (7 download)
Download or read book Real Analysis Through Modern Infinitesimals written by Nader Vakil and published by Cambridge University Press. This book was released on 2011-02-17 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.
Author : Yves Crama
Publisher : Cambridge University Press
ISBN 13 : 1139498630
Total Pages : 711 pages
Book Rating : 4.1/5 (394 download)
Download or read book Boolean Functions written by Yves Crama and published by Cambridge University Press. This book was released on 2011-05-16 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.
Author :
Publisher :
ISBN 13 :
Total Pages : 876 pages
Book Rating : 4.:/5 (5 download)
Download or read book OMS, Organic Mass Spectrometry written by and published by . This book was released on 1973 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lowell W. Beineke
Publisher : Cambridge University Press
ISBN 13 : 9780521802307
Total Pages : 366 pages
Book Rating : 4.8/5 (23 download)
Download or read book Topics in Topological Graph Theory written by Lowell W. Beineke and published by Cambridge University Press. This book was released on 2009-07-09 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.
Author :
Publisher :
ISBN 13 :
Total Pages : 1216 pages
Book Rating : 4.:/5 (319 download)
Download or read book Metals Abstracts written by and published by . This book was released on 1993 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 666 pages
Book Rating : 4.:/5 (318 download)
Download or read book Physics, Uspekhi written by and published by . This book was released on 1994 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jonathan M. Borwein
Publisher : Cambridge University Press
ISBN 13 : 0521850053
Total Pages : 533 pages
Book Rating : 4.5/5 (218 download)
Download or read book Convex Functions written by Jonathan M. Borwein and published by Cambridge University Press. This book was released on 2010-01-14 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The product of a collaboration of over 15 years, this volume is unique because it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces.
