Proceedings from a Simons Center workshop delve into advances in vertex operator algebras, conformal field theory, categorification, low-dimensional topology, and representation theory. Bridging string theory with quantum gravity and quantum groups,...Daugiau...
The primary audience for this book is students and the young researchers interested in the core of the discipline. Commutative algebra is by and large a self-contained discipline, which makes it quite dry for the beginner with a basic training in...Daugiau...
In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, g...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...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Daugiau...
(Išleidimo metai: 01-Jul-2024, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111212920)
This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of examples, it expands and systematizes the known and versatile commutative algebraic framework used, si...Daugiau...
A gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserve...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...
This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic numb...Daugiau...
Defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined...Daugiau...
(Išleidimo metai: 30-Nov-2023, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470471279)
This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and computational algebra. The use of number theory as a motivating theme throughout the book provides a ri...Daugiau...
This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and computational algebra. The use of number theory as a motivating theme throughout the book provides a ri...Daugiau...
Contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held in December 2021. The papers reflect the modern interplay between partial differential equations and various aspec...Daugiau...
The primary audience for this book is students and the young researchers interested in the core of the discipline. Commutative algebra is by and large a self-contained discipline, which makes it quite dry for the beginner with a basic training in...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...
Contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, held in July 2021, and the Virtual Conference on Quadratic Forms, Rings and Codes, held in July 2021. The articles cover topics in commutative and...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...