Ring and Module Theory

✍ Scribed by Toma Albu (auth.), Toma Albu, Gary F. Birkenmeier, Ali Erdoğgan, Adnan Tercan (eds.)

• Publisher: Birkhäuser Basel
• Year: 2010
• Tongue: English
• Leaves: 203
• Series: Trends in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-vii
A Seventy Years Jubilee: The Hopkins-Levitzki Theorem....Pages 1-26
A Theory of Hulls for Rings and Modules....Pages 27-71
Rewriting as a Special Case of Noncommutative Gröbner Bases Theory for the Affine Weyl Group à n ....Pages 73-81
A Classification of a Certain Class of Completely Primary Finite Rings....Pages 83-90
Higman Ideals and Verlinde-type Formulas for Hopf Algebras....Pages 91-114
Right Weakly Regular Rings: A Survey....Pages 115-123
Substructures of Hom....Pages 125-128
Weak Lifting Modules with Small Radical....Pages 129-134
FP -injective Complexes....Pages 135-142
A Generalization of Homological Dimensions....Pages 143-148
Additive Rank Functions and Chain Conditions....Pages 149-164
A Note on (α, β)-higher Derivations and their Extensions to Modules of Quotients....Pages 165-174
Prime Ideals in Noetherian Rings: A Survey....Pages 175-193
Back Matter....Pages 195-200

✦ Subjects

Algebra