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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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Ring Theory, 83: Student Edition
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Louis Rowen
This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**As a textbook for graduate students, Ring Theory joins the best...The experts will ...
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Exercises in Modules and Rings
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by
T Y Lam
This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.
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Noncommutative rings
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I N Herstein
A classic advanced textbook, containing a cross-section of ideas, techniques and results that give the reader an unparalleled introductory overview of the subject. The author gives an integrated presentation of overall theory and its applications in, for example, the study of groups of matrices, group representations, and in settling the problems ...
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Lessons on Rings, Modules and Multiplicities
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by
D G Northcott
This volume provides a clear and self-contained introduction to important results in the theory of rings and modules. Assuming only the mathematical background provided by a normal undergraduate curriculum, the theory is derived by comparatively direct and simple methods. It will be useful to both undergraduates and research students specialising ...
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Modules and the Structure of Rings: A Primer
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Jonathan S Golan
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Modules and Rings
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by
John Dauns
This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The ...
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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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Compatibility, Stability, and Sheaves
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J L Bueso, Bueso Bueso, P Jara
This title integrates fundamental techniques from algebraic geometry, localization theory and ring theory, and demonstrates how each topic is enhanced by interaction with others, providing new results within a common framework. In this title, technical conclusions are presented and illustrated with concrete examples.
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Structured Ring Spectra
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by
Andrew Baker (Editor), Birgit Richter (Editor), J W S Cassels (Editor)
Within algebraic topology, the prominent role of multiplicative cohomology theories has led to a great deal of foundational research on ring spectra and in the 1990s this gave rise to significant new approaches to constructing categories of spectra and ring-like objects in them. This book contains some important new contributions to the theory of ...
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Nilpotent Orbits, Primitive Ideals, and Characteristic Classes
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Walter Borho, J -L Brylinski, R MacPherson
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Left principal ideal rings
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by
A. V. Jategaonkar
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Torsion-Free Modules
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by
Eben Matlis
The subject of torsion-free modules over an arbitrary integral domain arises naturally as a generalization of torsion-free abelian groups. In this volume, Eben Matlis brings together his research on torsion-free modules that has appeared in a number of mathematical journals. Professor Matlis has reworked many of the proofs so that only an ...
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Rings and Factorization
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by
David Sharpe
This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorization. The author shows how concepts can be applied to a variety of examples such as factorizing ...
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Rings, Groups, and Algebras
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Cao Cao, X, X H Cao, Shao-Xue Liu (Editor)
Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and ...
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Rings, Modules, Algebras, and Abelian Groups
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Facchini Facchini, Alberto Facchini (Editor), Evan Houston (Editor)
"Rings, Modules, Algebras, and Abelian Groups" summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and ...
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Advances in Ring Theory
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by
Rizvi S Tariq, S K Jain (Editor), S T Rizvi (Editor)
Presenting current developments and trends in ring theory, this text highlights newer techniques as well as those that are more established.
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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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Groups, Rings and Galois Theory
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by
Victor P Snaith
This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups -- including applications to error-correcting codes and to solving Rubik's cube. The concise style of the book will ...
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An Introduction to Rings and Modules: With K-Theory in View
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A J Berrick, M E Keating, Bela Bollobas (Editor)
This is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. Starting from definitions, the book introduces fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It ...
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A Course in Ring Theory
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by
Donald S Passman
First published in 1991, this book contains the core material for an undergraduate first course in ring theory. Using the underlying theme of projective and injective modules, the author touches upon various aspects of commutative and noncommutative ring theory. In particular, a number of major results are highlighted and proved. Part I, ...
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Rings, Modules, and the Total
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by
F Kasch
In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of partially invertible homomorphisms, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The total consists of all elements that are ...
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Rings of Continuous Functions
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by
Charles E Aull (Editor)
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Exercises in Classical Ring Theory
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by
Tsit-Yuen Lam
This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be ...
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Modular Representation Theory
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by
D Benson
The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: ...
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