Advances in Ring Theory

by Van Huynh, Dinh; Lopez-Permouth, Sergio R.

• ISBN13: 9783034602853
• ISBN10: 3034602855
• Edition: 1st
• Format: Hardcover
• Copyright: 2010-07-04
• Publisher: Birkhauser

Summary

This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.

Table of Contents

Preface	p. ix
Applications of Cogalois Theory to Elementary Field Arithmetic	p. 1
On Big Lattices of Classes of R-modules Defined by Closure Properties	p. 19
Reversible and Duo Group Rings	p. 37
Principally Quasi-Baer Ring Hulls	p. 47
Strongly Prime Ideals of Near-rings of Continuous Functions	p. 63
Elements of Minimal Prime Ideals in General Rings	p. 69
On a Theorem of Camps and Dicks	p. 83
Applications of the Stone Duality in the Theory of Precompact Boolean Rings	p. 85
Over Rings and Functors	p. 113
On Some Classes of Repeated-root Constacyclic Codes of Length a Power of 2 over Galois Rings	p. 131
Couniformly Presented Modules and Dualities	p. 149
Semiclassical Limits of Quantized Coordinate Rings	p. 165
On Unit-Central Rings	p. 205
Symplectic Modules and von Neumann Regular Matrices over Commutative Rings	p. 213
Extensions of Simple Modules and the Converse of Schur's Lemma	p. 229
Report on Exchange Rings	p. 239
Filtrations in Semisimple Lie Algebras, III	p. 257
On the Blowing-up Rings, Arf Rings and Type Sequences	p. 269
A Guide to Supertropical Algebra	p. 283
Projective Modules, Idempotent Ideals and Intersection Theorems	p. 303
On Ef-extending Modules and Rings with Chain Conditions	p. 327
On Clean Group Rings	p. 335
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