Ring and Module Theory

This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.

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.

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

Texte du rabat
This volume features a collection of 13 peer-reviewed contributions consisting of expository/survey articles and research papers by 24 authors. Many of theses contributions were presented at the International Conference on Ring and Module Theory held at Hacettepe University in Ankara, Turkey, from August 18 to 22, 2008. The selected contributions examine wide-ranging and cutting-edge developments in various areas of algebra including ring theory, module theory, Hopf algebras, and commutative algebra. The survey articles are written by well-known experts in their respective areas and provide an overview which is useful for researchers in the area as well as those looking for new or related fields to investigate. The research papers give a taste of current research. The variety of topics will be of interest to both graduate students and researchers.

Contenu
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.