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The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006 and 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, some of which have a long tradition whereas others have emerged in recent years. They include topics in the formal theory of modules bordering on category theory, in ring theory, in Hopf algebras and quantum groups, and in corings and comodules.
The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006 and 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, some of which have a long tradition whereas others have emerged in recent years. They include topics in the formal theory of modules bordering on category theory, in ring theory, in Hopf algebras and quantum groups, and in corings and comodules.
Injective Morita Contexts (Revisited).- A Categorical Proof of a Useful Result.- On Nichols Algebras with Generic Braiding.- Dual Algebras of Some Semisimple Finite-dimensional Hopf Algebras.- Balanced Bilinear Forms for Corings.- Ring Hulls of Semiprime Homomorphic Images.- Notes on Formal Smoothness.- Certain Chain Conditions in Modules over Dedekind Domains and Related Rings.- ?-Injective Modules.- A Note on Polynomial Rings over Nil Rings.- QI-modules.- Corings with Exact Rational Functors and Injective Objects.- Preradicals of Associative Algebras and their Connections with Preradicals of Modules.- On the Construction of Separable Modules.- Essential Extensions of a Direct Sum of Simple Modules-II.- Pseudo-Galois Extensions and Hopf Algebroids.- Cohereditary Modules in ?[M].- When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality?.- Embedding Group Algebras into Finite von Neumann Regular Rings.- The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis.- On Some Injective Modules In ?[M].- Biproducts and Two-cocycle Twists of Hopf Algebras.
Injective Morita Contexts (Revisited).- A Categorical Proof of a Useful Result.- On Nichols Algebras with Generic Braiding.- Dual Algebras of Some Semisimple Finite-dimensional Hopf Algebras.- Balanced Bilinear Forms for Corings.- Ring Hulls of Semiprime Homomorphic Images.- Notes on Formal Smoothness.- Certain Chain Conditions in Modules over Dedekind Domains and Related Rings.- ?-Injective Modules.- A Note on Polynomial Rings over Nil Rings.- QI-modules.- Corings with Exact Rational Functors and Injective Objects.- Preradicals of Associative Algebras and their Connections with Preradicals of Modules.- On the Construction of Separable Modules.- Essential Extensions of a Direct Sum of Simple Modules-II.- Pseudo-Galois Extensions and Hopf Algebroids.- Cohereditary Modules in ?[M].- When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality?.- Embedding Group Algebras into Finite von Neumann Regular Rings.- The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis.- On Some Injective Modules In ?[M].- Biproducts and Two-cocycle Twists of Hopf Algebras.
Injective Morita Contexts (Revisited).- A Categorical Proof of a Useful Result.- On Nichols Algebras with Generic Braiding.- Dual Algebras of Some Semisimple Finite-dimensional Hopf Algebras.- Balanced Bilinear Forms for Corings.- Ring Hulls of Semiprime Homomorphic Images.- Notes on Formal Smoothness.- Certain Chain Conditions in Modules over Dedekind Domains and Related Rings.- ?-Injective Modules.- A Note on Polynomial Rings over Nil Rings.- QI-modules.- Corings with Exact Rational Functors and Injective Objects.- Preradicals of Associative Algebras and their Connections with Preradicals of Modules.- On the Construction of Separable Modules.- Essential Extensions of a Direct Sum of Simple Modules-II.- Pseudo-Galois Extensions and Hopf Algebroids.- Cohereditary Modules in ?[M].- When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality?.- Embedding Group Algebras into Finite von Neumann Regular Rings.- The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis.- On Some Injective Modules In ?[M].- Biproducts and Two-cocycle Twists of Hopf Algebras.
Injective Morita Contexts (Revisited).- A Categorical Proof of a Useful Result.- On Nichols Algebras with Generic Braiding.- Dual Algebras of Some Semisimple Finite-dimensional Hopf Algebras.- Balanced Bilinear Forms for Corings.- Ring Hulls of Semiprime Homomorphic Images.- Notes on Formal Smoothness.- Certain Chain Conditions in Modules over Dedekind Domains and Related Rings.- ?-Injective Modules.- A Note on Polynomial Rings over Nil Rings.- QI-modules.- Corings with Exact Rational Functors and Injective Objects.- Preradicals of Associative Algebras and their Connections with Preradicals of Modules.- On the Construction of Separable Modules.- Essential Extensions of a Direct Sum of Simple Modules-II.- Pseudo-Galois Extensions and Hopf Algebroids.- Cohereditary Modules in ?[M].- When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality?.- Embedding Group Algebras into Finite von Neumann Regular Rings.- The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis.- On Some Injective Modules In ?[M].- Biproducts and Two-cocycle Twists of Hopf Algebras.
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