The Jacobson Radical and Rings with Descending Chain Condition

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Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (221 download)

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Book Synopsis The Jacobson Radical and Rings with Descending Chain Condition by : Karen Harris

Download or read book The Jacobson Radical and Rings with Descending Chain Condition written by Karen Harris and published by . This book was released on 1995 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Jacobson Radical of Classical Rings

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Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Jacobson Radical of Classical Rings by : Gregory Karpilovsky

Download or read book The Jacobson Radical of Classical Rings written by Gregory Karpilovsky and published by . This book was released on 1991 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide comprehensive coverage of the structure of the Jacobson radical of classical rings. Special attention is drawn to the discoveries concerning the Jacobson radical of graded rings. The main objective has been to present an accessible, self-contained and detailed coverage of the present state of the subject, so that the reader can find in one place all that is needed for a thorough understanding of the main results, along with concrete information on how the ideas are applied.

Algebras, Rings and Modules

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Publisher : CRC Press
ISBN 13 : 1482245051
Total Pages : 384 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Algebras, Rings and Modules by : Michiel Hazewinkel

Download or read book Algebras, Rings and Modules written by Michiel Hazewinkel and published by CRC Press. This book was released on 2016-04-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth centu

Radicals in Standard Rings

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Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Radicals in Standard Rings by : Larry Joseph Zettel

Download or read book Radicals in Standard Rings written by Larry Joseph Zettel and published by . This book was released on 1970 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Jacobson radical of rings and modules

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Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (346 download)

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Book Synopsis The Jacobson radical of rings and modules by : David Wayne Clay

Download or read book The Jacobson radical of rings and modules written by David Wayne Clay and published by . This book was released on 1971 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Commutative Rings and the Jacobson Radical

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Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (392 download)

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Book Synopsis Commutative Rings and the Jacobson Radical by : Janice Marie Johnson

Download or read book Commutative Rings and the Jacobson Radical written by Janice Marie Johnson and published by . This book was released on 1997 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Jacobson Radical of Classical Rings

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Publisher :
ISBN 13 : 9780608052335
Total Pages : 579 pages
Book Rating : 4.0/5 (523 download)

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Book Synopsis The Jacobson Radical of Classical Rings by : Gregory Karpilovsky

Download or read book The Jacobson Radical of Classical Rings written by Gregory Karpilovsky and published by . This book was released on 1991-01-01 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Radical Theory of Rings

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Publisher : CRC Press
ISBN 13 : 9780203913352
Total Pages : 412 pages
Book Rating : 4.9/5 (133 download)

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Book Synopsis Radical Theory of Rings by : J.W. Gardner

Download or read book Radical Theory of Rings written by J.W. Gardner and published by CRC Press. This book was released on 2003-11-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.

On a Class of Rings with Ideal Nuclei

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Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis On a Class of Rings with Ideal Nuclei by : Edward Hubert Batho

Download or read book On a Class of Rings with Ideal Nuclei written by Edward Hubert Batho and published by . This book was released on 1955 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Noncommutative Noetherian Rings

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Publisher : Cambridge University Press
ISBN 13 : 9780521369251
Total Pages : 328 pages
Book Rating : 4.3/5 (692 download)

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Book Synopsis An Introduction to Noncommutative Noetherian Rings by : K. R. Goodearl

Download or read book An Introduction to Noncommutative Noetherian Rings written by K. R. Goodearl and published by Cambridge University Press. This book was released on 1989 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).

A First Course in Noncommutative Rings

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Publisher : Springer Science & Business Media
ISBN 13 : 1468404067
Total Pages : 410 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis A First Course in Noncommutative Rings by : T.Y. Lam

Download or read book A First Course in Noncommutative Rings written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Rings and Radicals

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Publisher : Toronto, U. P
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Rings and Radicals by : N. J. Divinsky

Download or read book Rings and Radicals written by N. J. Divinsky and published by Toronto, U. P. This book was released on 1965 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras

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Publisher : Cambridge University Press
ISBN 13 : 9780521366373
Total Pages : 820 pages
Book Rating : 4.3/5 (663 download)

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Book Synopsis Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras by : Theodore W. Palmer

Download or read book Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras written by Theodore W. Palmer and published by Cambridge University Press. This book was released on 1994-03-25 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.

Modules and Rings

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Publisher : Cambridge University Press
ISBN 13 : 0521462584
Total Pages : 470 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Modules and Rings by : John Dauns

Download or read book Modules and Rings written by John Dauns and published by Cambridge University Press. This book was released on 1994-10-28 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on modern module 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 first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.

The Theory of Rings

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Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Theory of Rings by : Nathan Jacobson

Download or read book The Theory of Rings written by Nathan Jacobson and published by . This book was released on 1948 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Right Jacobson Radicals For Right Near-Rings

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Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659642357
Total Pages : 144 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Right Jacobson Radicals For Right Near-Rings by : Siva Prasad Korrapati

Download or read book Right Jacobson Radicals For Right Near-Rings written by Siva Prasad Korrapati and published by LAP Lambert Academic Publishing. This book was released on 2015-04-09 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Jacobson radical is a very significant radical in rings.It is well known in ring theory that the right and left Jacobson radicals of a ring are the same but a right(left)primitive ring need not be a left(right)primitive ring.No true generalization of Wedderburn-Artin theorem of rings was developed to near-rings which involves direct product of matrix near-rings.This requires the right Jacobson radicals of near-rings. Three right Jacobson radicals are introduced and it is established that they are all Kurosh-Amitsur radicals in the class of all near-rings in which the constant part of a near-ring is an ideal of that near-ring.Their relations with the existing radicals of near-rings are presented. Also another three right Jacobson radicals are introduced and it is established that they are all Kurosh-Amitsur radicals in the class of all near-rings and are also ideal-hereditary in the class of all zero-symmetric near-rings. Semisimple classes of these Jacobson radicals are studied and some generalizations of Wedderburn-Artin theorem of rings are presented.

Rings and Their Modules

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Publisher : Walter de Gruyter
ISBN 13 : 3110250233
Total Pages : 467 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Rings and Their Modules by : Paul E. Bland

Download or read book Rings and Their Modules written by Paul E. Bland and published by Walter de Gruyter. This book was released on 2011-02-01 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. The theme of the text is the interplay between rings and modules. At times rings are investigated by considering given sets of conditions on the modules they admit and at other times rings of a certain type are considered to see what structure is forced on their modules. Standard topics in ring and module theory such as chain conditions on rings and modules, injective and projective modules and semisimple rings are included as well as subjects like category theory and homological algebra. The text also contains presentations on topics such as flat modules and coherent rings, injective envelopes, projective covers and perfect rings, reflexive modules and quasi-Frobenius rings, and graded rings and modules. The book is a self-contained volume written in a very systematic style: all proofs are clear and easy for the reader to understand and all arguments are based on materials contained in the book. A problem sets follow each section. It is assumed that the reader is familiar with concepts such as Zorn's lemma, commutative diagrams and ordinal and cardinal numbers. It is also assumed that the reader has a basic knowledge of rings and their homomorphisms. The text is suitable for graduate and PhD students who have chosen ring theory for their research subject.