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A First Course in Abstract Algebra
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by
Joseph J Rotman
For one-semester or two-semester undergraduate courses in Abstract Algebra.This new edition has been completely rewritten. The four chapters from the first edition are expanded, from 257 pages in first edition to 384 in the second. Two new chapters have been added: the first 3 chapters are a text for a one-semester course; the last 3 chapters are ...
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Treating Childhood Psychopathology and Developmental Disabilities
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by
Johnny L Matson, PhD (Editor), Frank Andrasik, PhD (Editor), Michael L Matson (Editor)
Child psychology is a constantly expanding field, with dozens of specialized journals devoted to major disorders springing up in recent years. With so much information available - and the prospect of overload inevitable - researchers and clinicians alike need to navigate the knowledge base with as much confidence as they do the nuances of ...
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Introduction to Commutative Algebra (on Demand)
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Michael Francis Atiyah
This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more ...
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Commutative Ring Theory: Proceedings of the II International Conference
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Paul-Jean Cahen (Editor), Marco Fontana (Editor), Evan Houston (Editor)
Presents the proceedings of the Second International Conference on Commutative Ring Theory in Fes, Morocco. The text details developments in commutative algebra, highlighting the theory of rings and ideals. It explores commutative algebra's connections with and applications to topological algebra and algebraic geometry.
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Ideals and Reality: Projective Modules and Number of Generators of Ideals
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Friedrich Ischebeck, Ravi A Rao
This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philosophy to problems in affine algebraic geometry. It gives a lucid presentation of the Quillen-Suslin theorem settling Serre's conjecture. The central topic of the book is the question of whether a curve in $n$-space is as a set an intersection of $(n-1 ...
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A First Course in Abstract Algebra: With Applications
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Joseph J Rotman
This text introduces students to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.
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Multiplicative Ideal Theory in Commutative Algebra: A Tribute to the Work of Robert Gilmer
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James W Brewer
For over forty years, Robert Gilmer's numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in non-Noetherian ring theory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. ...
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Auslander-Buchweitz Approximations of Equivariant Modules
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Mitsuyasu Hashimoto, J W S Cassels (Editor), N J Hitchin (Editor)
This book focuses on homological aspects of equivariant modules. It presents a new homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of delta-good approximations for quasi-hereditary algebras and reductive groups. The book provides a ...
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Commutative Rings with Zero Divisors
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Huckaba
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Factorization in Integral Domains
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by
Daniel D Anderson
The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City. The text gathers current work on factorization in integral domains and monoids, and the theory of ...
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Topics in Commutative Ring Theory
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by
John J Watkins
"Topics in Commutative Ring Theory" is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra. Commutative ring theory arose more than a century ago to address questions in geometry and number theory. A commutative ring is a set ...
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Serre's Conjecture
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by
T Y Lam
From the Preface: 'I felt it would be useful for graduate students to see a detailed account of the sequence of mathematical developments which was inspired by the Conjecture, and which ultimately led to its full solution...I offered a course on Serre's Conjecture to a small group of graduate students in January, 1977 at the University of ...
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Advances in Commutative Ring Theory
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Salah-Eddine Kabbaj, Marco Fontana, Dobbs Dobbs
Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in ...
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Commutative Ring Theory
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by
Hideyuki Matsumura
In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced ...
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Linear Algebra Over Commutative Rings
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Bernard R McDonald
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Zero-Dimensional Commutative Rings
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David F Anderson (Editor), Anderson F Anderson, David Dobbs (Editor)
This work presents advances in zero-dimensional commutative rings and commutative algebra. It illustrates the research frontier with 52 open problems together with comments on the relevant literature, and offers a comprehensive index for easy access to information. Wide-ranging developments in commutative ring theory are examined.
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Unipotent Algebraic Groups
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Tatsuji Kambayashi
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Commutative Semigroup Rings
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Robert Gilmer
This book contains an account of the current state of knowledge on some topics in the area of commutative semigroup rings.
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Graduate Algebra
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by
Louis Halle Rowen
This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Artinian modules, and the theory of graded algebras is included to provide ...
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Partially Ordered Rings and Semi-Algebraic Geometry
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by
Gregory W Brumfiel, N J Hitchin (Editor)
The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed ...
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Finite Commutative Rings and Their Applications
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Gilberto Bini, Flaminio Flamini
This title contains foreword by Dieter Jungnickel. "Finite Commutative Rings and their Applications" answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding ...
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Integral Closure of Ideals, Rings, and Modules
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Craig Huneke, Irena Swanson
Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central ...
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Commutative Coherent Rings
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by
Sarah Glaz
This book provides the first extensive and systematic treatment of the theory of commutative coherent rings. It blends, and provides a link, between the two sometimes disjoint approaches available in the literature, the ring theoretic approach, and the homological algebra approach. The book covers most results in commutative coherent ring theory ...
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Commutative Ring Theory
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by
Paul-Jean Cahen
Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, "Commutative Ring Theory" covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups - linear groups, integer-valued polynomials, rings of ...
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Matrices Over Commutative Rings
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by
William C Brown
Aims to cover the most important aspects of the theory of matrices whose entries come from a given commutative ring. Essential facts about commutative rings are developed throughout the book, and proofs that follow from concrete matrix calculations are also provided.
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