Modules and Comodules

by Brzezinski, Tomasz; Pardo, Jose Luis Gomez; Shestakov, Ivan; Smith, Patrick F.

• ISBN13: 9783764387419
• ISBN10: 3764387416
• Format: Hardcover
• Copyright: 2008-07-04
• Publisher: Birkhauser

Summary

The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006. The conference was dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory. While some of these fields have a long tradition, others represented here have emerged in recent years.

Table of Contents

Preface	p. vii
List of Participants	p. viii
Acknowledgment	p. ix
Robert Wisbauer	p. xi
Injective Morita Contexts (Revisited)	p. 1
A Categorical Proof of a Useful Result	p. 31
On Nichols Algebras with Generic Braiding	p. 47
Dual Algebras of Some Semisimple Finite-dimensional Hopf Algebras	p. 65
Balanced Bilinear Forms for Corings	p. 87
Ring Hulls of Semiprime Homorphic Images	p. 101
Notes on Formal Smoothness	p. 113
Certain Chain Conditions in Modules over Dedekind Domains and Related Rings	p. 125
[tau]-Injective Modules	p. 143
A Note on Polynomial Rings over Nil Rings	p. 169
QI-modules	p. 173
Corings with Exact Rational Functors and Injective Objects	p. 185
Preradicals of Associative Algebras and Their Connections with Preradicals of Modules	p. 203
On the Construction of Separable Modules	p. 227
Essential Extensions of a Direct Sum of Simple Modules-II	p. 243
Pseudo-Galois Extensions and Hopf Algebroids	p. 247
Cohereditary Modules in [sigma M]	p. 265
When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality?	p. 281
Embedding Group Algebras into Finite von Neumann Regular Rings	p. 295
The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis	p. 301
On Some Injective Modules In [sigma M]	p. 313
Biproducts and Two-cocycle Twists of Hopf Algebras	p. 331
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