Advances in Ring Theory

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.

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