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9789814397674

Contemporary Ring Theory 2011 - Proceedings of the Sixth China-Japan-Korea International Conference on Ring Theory

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  • ISBN13:

    9789814397674

  • ISBN10:

    9814397679

  • Format: Hardcover
  • Copyright: 2012-04-26
  • Publisher: Textstream
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Summary

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 semi-simple 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 Köthe's conjecture; the study of nil rings and Jacobson rings; the study of applying ring-theoretic 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 ChinaJapanKorea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory.

Table of Contents

Prefacep. v
Organizing Committeesp. vi
Participantsp. vii
Programp. xii
Invited Lectures
Rings Over Which Polynomial Rings are NIp. 1
The Galois Map and Its Induced Mapsp. 10
Notes on Weakly d-Koszul Modulesp. 16
An Extension of Rings and Hochschild 2-Cocyclesp. 29
When Do the Direct Sums of Modules Inherit Certain Properties?p. 47
Notes on Simple-Baer Modules and Ringsp. 78
A Note on Quasi-Johns Ringsp. 89
von Neumann Regular Rings Satisfying Generalized Almost Comparabilityp. 97
A New Pseudorandom Number Generator Astp. 110
A Note on Prime Rings with Left Derivationsp. 123
On Rings in Which Every Ideal is Primep. 129
Some Commutativity Theorems Concerning Additive Mappings and Derivations on Semiprime Ringsp. 135
Study on the Algebraic Structures in Terms of Geometry and Deformation Theoryp. 144
On the Faith Conjecturep. 155
A Short Proof that Continuous Modules are Cleanp. 165
Structures on S.G. Near-Rings and -Groupsp. 170
Imprimitive Regular Action in the Ring of Integers Modulo np. 182
On Symmetric Biderivations of Semiprime Ringsp. 196
¿-Projective and Strongly ¿-Projective Modulesp. 209
Table of Contents provided by Ingram. All Rights Reserved.

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