Ring and Module Theory, 2010 Trends in Mathematics Series

The volume consists of a collection of invited research papers and expository/survey articles, many of which were presented at the International Conference on Ring and Module Theory held at Hacettepe University in Ankara, Turkey, in August 2008. The selected papers and articles examine wide ranging and cutting edge developments in various areas of algebra, including ring theory, module theory, and commutative algebra. There is also a section devoted to open problems to motivate further research.

A Seventy Years Jubilee: The Hopkins-Levitzki Theorem.- A Theory of Hulls for Rings and Modules.- Rewriting as a Special Case of Noncommutative Gröbner Bases Theory for the Affine Weyl Group à n .- A Classification of a Certain Class of Completely Primary Finite Rings.- Higman Ideals and Verlinde-type Formulas for Hopf Algebras.- Right Weakly Regular Rings: A Survey.- Substructures of Hom.- Weak Lifting Modules with Small Radical.- FP-injective Complexes.- A Generalization of Homological Dimensions.- Additive Rank Functions and Chain Conditions.- A Note on (?, ?)-higher Derivations and their Extensions to Modules of Quotients.- Prime Ideals in Noetherian Rings: A Survey.

Proceedings of one of the largest conferences held in the Middle East on ring and module theory with speakers from over 25 countries Expository/survey articles from world renowned experts in ring theory, module theory, and commutative algebra Includes supplementary material: sn.pub/extras