By: Jin Yong Kim (Editor), Chan Huh (Editor), Yang Lee (Editor)

Hardcover

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The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semisimple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the Kothe's conjecture; the study of nil rings and Jacobson rings; the study of applying ring-thoeretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences. This volume consists of a collection of original articles refereed by world experts that was presented at the "Sixth China - Japan - Korea International Conference on Ring Theory". These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and shows the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory.

Preface	p. v
Organizing Committees	p. vi
Participants	p. vii
Program	p. xii
Invited Lectures
Rings Over Which Polynomial Rings are NI	p. 1
The Galois Map and Its Induced Maps	p. 10
Notes on Weakly d-Koszul Modules	p. 16
An Extension of Rings and Hochschild 2-Cocycles	p. 29
When Do the Direct Sums of Modules Inherit Certain Properties?	p. 47
Notes on Simple-Baer Modules and Rings	p. 78
A Note on Quasi-Johns Rings	p. 89
von Neumann Regular Rings Satisfying Generalized Almost Comparability	p. 97
A New Pseudorandom Number Generator Ast	p. 110
A Note on Prime Rings with Left Derivations	p. 123
On Rings in Which Every Ideal is Prime	p. 129
Some Commutativity Theorems Concerning Additive Mappings and Derivations on Semiprime Rings	p. 135
Study on the Algebraic Structures in Terms of Geometry and Deformation Theory	p. 144
On the Faith Conjecture	p. 155
A Short Proof that Continuous Modules are Clean	p. 165
Structures on S.G. Near-Rings and -Groups	p. 170
Imprimitive Regular Action in the Ring of Integers Modulo n	p. 182
On Symmetric Biderivations of Semiprime Rings	p. 196
-Projective and Strongly -Projective Modules	p. 209
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9789814397674
ISBN-10: 9814397679
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 220
Published: 23rd April 2012
Dimensions (cm): 22.9 x 15.5  x 2.0
Weight (kg): 0.454