(Išleidimo metai: 12-Dec-2024, Hardback, Leidėjas: Oxford University Press, ISBN-13: 9780198904908)
This textbook is a modern and accessible account of module theory and is intended for a graduate course on the topic. Written by two specialists, it is addressed to graduate students in algebra, or to students who need algebraic tools in their work....Daugiau...
This textbook is a modern and accessible account of module theory and is intended for a graduate course on the topic. Written by two specialists, it is addressed to graduate students in algebra, or to students who need algebraic tools in their work....Daugiau...
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18-22, 2022, at the Universite Grenoble Alpes, Grenoble, France. Articles included are a survey and op...Daugiau...
We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong unifor...Daugiau...
This book develops the machinery of homological algebra and its applications to commutative rings and modules. It assumes familiarity with basic commutative algebra, for example, as covered in the authors book, Commutative Algebra. The first part...Daugiau...
(Išleidimo metai: 31-Jan-2024, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470471286)
This book develops the machinery of homological algebra and its applications to commutative rings and modules. It assumes familiarity with basic commutative algebra, for example, as covered in the authors book, Commutative Algebra. The first part...Daugiau...
The goal of this publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt-Kubota L-functions), and the Iwasawa main conjecture, which is a bridge b...Daugiau...
We study the representation theory of the increasing monoid. Our results provide a fairly comprehensive picture of the representation category: for example, we describe the Grothendieck group (including the effective cone), classify injective object...Daugiau...
Weighted projective lines, introduced by Geigle and Lenzing in 1987, are important objects in representation theory. They have tilting bundles, whose endomorphism algebras are the canonical algebras introduced by Ringel. The aim of this paper is to...Daugiau...
This book contains select papers on rings, monoids and module theory which are presented at the 3rd International Conference on Mathematics and Statistics (AUS-ICMS 2020) held at the American University of Sharjah, United Arab Emirates, from 69 F...Daugiau...
To celebrate the cumulative ages of Roger and Sylvia Wiegand, both fixtures in the commutative algebra community, one conference was held in Sao Paulo, Brazil during July 2019 and another in Madison, Wisconsin during September 2019. The combined...Daugiau...
This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the AuslanderReiten theory and the study of the radical of a module category. It starts by introducing and describing several characteri...Daugiau...
This book contains select papers on rings, monoids and module theory which are presented at the 3rd International Conference on Mathematics and Statistics (AUS-ICMS 2020) held at the American University of Sharjah, United Arab Emirates,&a...Daugiau...
The main part of the book is a transcript of the preprint Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings that Buchweitz (1952-2017) prepared in 1986 for a 1987 conference proceedings. The conference did not come to pass,...Daugiau...
In a sequel to their 2000 Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory, Childs and colleagues survey the state of the art in Hopf-Galois theory and Hopf-Galois module theory. They begin with an algebraic approach, focusing...Daugiau...
This is the ?rst book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. This book is perfectly suited to researchers and postgrads resear...Daugiau...
Serija: Series on Number Theory and Its Applications
(Išleidimo metai: 27-Oct-2021, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811241369)
The only book available that exposes the Iwasawa theoretic aspects of modular forms and Galois deformation theory The results found in the book are at the cutting edge of the present research The first few chapters provide the fundamentals while the...Daugiau...
A nice feature of the book ( is) that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong This is a nicely-written book ( that) studies algebraic differential modules in several variables....Daugiau...
