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...More info...
(Pub. Date: 31-Jan-2024, Hardback, Publisher: 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...More info...
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...More info...
(Pub. Date: 30-Nov-2023, Hardback, Publisher: 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...More info...
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...More info...
For some time, Heinzer, Rotthaus, and Wiegand have been creating examples using power series to analyze and distinguish several properties of commutative rings and their spectra. Here they present their results, put them in perspective, and clari...More info...
(Pub. Date: 30-Jul-2018, Hardback, Publisher: American Mathematical Society, ISBN-13: 9781470442897)
Based on graduate courses taught at the University of South Florida, the text introduces the fundamentals of finite fields, addressing a number of issues related to the algebra and combinatorics of polynomials over finite fields, the characters o...More info...
(Pub. Date: 30-Sep-2017, Hardback, Publisher: American Mathematical Society, ISBN-13: 9781470428495)
This text introduces undergraduates with no knowledge of the subject to abstract algebra, covering group theory, ring theory, and fields and Galois theory. It introduces group actions early, and includes Hasse diagrams of posets and homomorphism...More info...
(Pub. Date: 30-Sep-2017, Hardback, Publisher: American Mathematical Society, ISBN-13: 9781470437701)
Presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. Azumaya algebras, the henselizati...More info...
Contains the proceedings of the First Workshop Matematicos Mexicanos Jovenes en el Mundo, held in August 2012. Featured are survey and research articles in six areas: algebra, analysis, applied mathematics, geometry, probability and topology. Topics...More info...
(Pub. Date: 30-Nov-2015, Hardback, Publisher: American Mathematical Society, ISBN-13: 9781470415549)
Part One--this volume--can be used as a text for the first year of graduate algebra, says Rotman, but it and the forthcoming Part Two can also serve more advanced graduate students wishing to learn topics on their own. They comprise a reference as we...More info...
The course was designed to go beyond the mathematics of resolving singularities of algebraic varieties and represent a step in the career of participants by teaching them how to grasp and incorporate the main features of a complicated theory, to eval...More info...
(Pub. Date: 30-Dec-2011, Hardback, Publisher: American Mathematical Society, ISBN-13: 9780821872871)
This book provides a concise yet comprehensive and self-contained introduction to Grobner basis theory and its applications to various current research topics in commutative algebra. It especially aims to help young researchers become acquainted wit...More info...
