Abelian Groups and Modules: Proceedings of the Padova Conference, Padova, Italy, June 23–July 1, 1994

Front Matter....Pages i-xx
Dual Relative Krull Dimension of Modules Over Commutative Rings....Pages 1-15
Morita Duality, Linear Compactness and AB5: A Survey....Pages 17-28
Near Isomorphism of Butler Groups and Representations of Finite Posets....Pages 29-39
Locally Free Finite Rank Butler Groups and Near Isomorphism....Pages 41-48
Subgroups of Butler Groups....Pages 49-56
Some Abelian Groups with Free Duals....Pages 57-66
Confirmation of a Conjecture of Dauns and Hofmann on Biregular Rings....Pages 67-72
Induction Functors for the Doi-Koppinen Unified Hopf Modules....Pages 73-94
One-Dimensional Rings of Finite Representation Type....Pages 95-121
Uniqueness of Dualities....Pages 123-133
Classification and Non-Classification Results for Abelian Groups....Pages 135-143
∑-Pure-Injective Modules Over Serial Rings....Pages 145-162
Modules Over Endomorphism Rings as Homotopy Classes....Pages 163-183
Categories of Mixed and Torsion-Free Finite Rank Abelian Groups....Pages 185-192
Reflexive Representations of Algebras....Pages 193-208
Zero-Dimensional Subrings of Commutative Rings....Pages 209-219
The Dimension of the Tensor Product of Two Particular Pullbacks....Pages 221-226
On the Existence of Rigid ℵ 1 -Free Abelian Groups of Cardinality ℵ 1 ....Pages 227-237
Warfield Duality and Module Extensions Over a Noetherian Domain....Pages 239-248
Von Neumann Regular Rings and Direct Sum Decomposition Problems....Pages 249-255
Selforthogonal Modules....Pages 257-276
Subrings of Finite-Dimensional Rings....Pages 277-282
Primary Abelian Groups Whose Countable Subgroups Have Countable Closure....Pages 283-290
Isotype Separable Subgroups of Totally Projective Groups....Pages 291-300
Representable Preradicals with Enough Projectives....Pages 301-311
Rings with Periodic Unit Groups....Pages 313-321
Abelian Groups with Contractions II: Weak O-Minimality....Pages 323-342
Almost Completely Decomposable Torsion-Free Abelian Groups....Pages 343-366
On the Exchange Property for Quasi-Continuous Modules....Pages 367-372
Endomorphism Rings of Reid Groups....Pages 373-383
Completely Decomposable Subgroups and Factors of Finite Rank Completely Decomposable Groups....Pages 385-394
On the Endomorphism Ring of an Infinite Dimensional Vector Space....Pages 395-417
Some Algebraically Compact Modules. I....Pages 419-439
The Near Endomorphism Ring of an Almost Completely Decomposable Group....Pages 441-452
Reflexivity of Left Serial Algebras....Pages 453-457
On a Class of Minimal Topological Modules....Pages 459-466
Steady Rings May Contain Large Sets of Orthogonal Idempotents....Pages 467-473
The Holy Grail of Algebra: Seeking Complete Sets of Invariants....Pages 475-483
Invariants for Almost Completely Decomposable Groups....Pages 485-490
A Class of Modules with Semisimple Behavior....Pages 491-500
The Finitistic Dimension Conjectures — A Tale of 3.5 Decades....Pages 501-517
Back Matter....Pages 519-522