The Theory of Near-Rings, Lockhart Robert

Автор: Arzhantsev
Название: Cox Rings
ISBN: 1107024625 ISBN-13(EAN): 9781107024625
Издательство: Cambridge Academ
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Описание: This book gives a systematic and self-contained introduction to Cox rings, which allows for explicit treatment of advanced topics in algebraic geometry. It provides students and researchers with a straightforward guide to this field of research. Applications in algebraic and arithmetic geometry are discussed.

Название: Lecture Notes on Local Rings
ISBN: 9814603651 ISBN-13(EAN): 9789814603652
Издательство: World Scientific Publishing
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Описание:

The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.

Автор: Alberto Facchini
Название: Module Theory
ISBN: 3034803028 ISBN-13(EAN): 9783034803021
Издательство: Springer
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Описание: This book presents topics in module theory and ring theory: some, such as Goldie dimension and semiperfect rings are now considered classical and others more specialized, such as dual Goldie dimension, semilocal endomorphism rings, serial rings and modules.

Автор: Winfried Bruns; Udo Vetter
Название: Determinantal Rings
ISBN: 3540194681 ISBN-13(EAN): 9783540194682
Издательство: Springer
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Описание: Offers a treatment of the structure of determinantal rings. This book discusses principal radical systems. It is suitable for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings.

Автор: Winfried Bruns; Joseph Gubeladze
Название: Polytopes, Rings, and K-Theory
ISBN: 1441926178 ISBN-13(EAN): 9781441926173
Издательство: Springer
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Цена: 20123.00 р.
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Описание: This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from discrete geometry, to commutative algebra, and K-theory.

Автор: Sautoy, Marcus Du Woodward, Luke
Название: Zeta functions of groups and rings
ISBN: 354074701X ISBN-13(EAN): 9783540747017
Издательство: Springer
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Описание: Zeta functions have been a powerful tool in mathematics. This book considers a fresh class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. It explores the analytic behaviour of these functions together with an investigation of functional equations.

Автор: Satyanarayana, Bhavanari
Название: Near Rings, Fuzzy Ideals, and Graph Theory
ISBN: 1439873100 ISBN-13(EAN): 9781439873106
Издательство: Taylor&Francis
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Автор: Yuen Fong; Howard E. Bell; Wen-Fong Ke; Gordon Mas
Название: Near-Rings and Near-Fields
ISBN: 0792336356 ISBN-13(EAN): 9780792336358
Издательство: Springer
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Цена: 11586.00 р.
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Описание: Presents 26 papers reflecting the diversity of the subject in regard to geometry, topological groups, automata, coding theory and probability, as well as the purely algebraic structure theory of near-rings.

Автор: Yuen Fong; Carl Maxson; John Meldrum; G.F. Pilz; A
Название: Near-Rings and Near-Fields
ISBN: 0792367065 ISBN-13(EAN): 9780792367062
Издательство: Springer
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Описание: This volume contains articles reflecting contemporary research activities on the algebraic structure theory of near-rings and the interaction they have with group theory, geometry and combinatorics.

Автор: Tsit-Yuen Lam
Название: Lectures on Modules and Rings
ISBN: 1461268028 ISBN-13(EAN): 9781461268024
Издательство: Springer
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Описание: Textbook writing must be one of the cruelest of self-inflicted tortures. - Carl Faith Math Reviews 54: 5281 So why didn't I heed the warning of a wise colleague, especially one who is a great expert in the subject of modules and rings? The answer is simple: I did not learn about it until it was too late My writing project in ring theory started in 1983 after I taught a year-long course in the subject at Berkeley. My original plan was to write up my lectures and publish them as a graduate text in a couple of years. My hopes of carrying out this plan on schedule were, however, quickly dashed as I began to realize how much material was at hand and how little time I had at my disposal. As the years went by, I added further material to my notes, and used them to teach different versions of the course. Eventually, I came to the realization that writing a single volume would not fully accomplish my original goal of giving a comprehensive treatment of basic ring theory. At the suggestion of Ulrike Schmickler-Hirzebruch, then Mathematics Editor of Springer-Verlag, I completed the first part of my project and published the write- up in 1991 as A First Course in Noncommutative Rings, GTM 131, hereafter referred to as First Course (or simply FC).

Автор: T.Y. Lam
Название: A First Course in Noncommutative Rings
ISBN: 1468404083 ISBN-13(EAN): 9781468404081
Издательство: Springer
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Описание: One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory.

Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups).

In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra.

Автор: B. Stenstr?m
Название: Rings of Quotients
ISBN: 3642660681 ISBN-13(EAN): 9783642660689
Издательство: Springer
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Описание: The theory of rings of quotients has its origin in the work of (j). In that case one defines the ring of fractions Q = A [S-l] as consisting of pairs (a, s) with aEA and SES, with the declaration that (a, s)=(b, t) if there exists UES such that uta = usb.