Advances in Ring Theory

Front Matter....Pages i-vii
Kasch Modules....Pages 1-16
Compactness in Categories and Interpretations....Pages 17-30
A Ring of Morita Context in Which Each Right Ideal is Weakly Self-Injective....Pages 31-38
Splitting Theorems and a Problem of Müller....Pages 39-47
Decompositions of D1 Modules....Pages 49-64
Right Cones in Groups....Pages 65-71
On Extensions of Regular Rings of Finite Index by Central Elements....Pages 73-86
Intersections of Modules....Pages 87-103
Minimal Cogenerators Over Osofsky and Camillo Rings....Pages 105-118
Uniform Modules Over Goldie Prime Serial Rings....Pages 119-127
Co— Versus Contravariant Finiteness of Categories of Representations....Pages 129-144
Monomials and the Lexicographic Order....Pages 145-150
Rings Over Which Direct Sums of CS Modules are CS....Pages 151-159
Exchange Properties and the Total....Pages 161-174
Local Bijective Gabriel Correspondence and Torsion Theoretic FBN Rings....Pages 175-189
Normalizing Extensions and the Second Layer Condition....Pages 191-210
Generators of Subgroups of Finite Index in GL m (ℤ G )....Pages 211-219
Weak Relative Injective M -Subgenerated Modules....Pages 221-238
Direct Product and Power Series Formations Over 2-Primal Rings....Pages 239-245
Localization in Noetherian Rings....Pages 247-262
Projective Dimension of Ideals in von Neumann Regular Rings....Pages 263-285
Homological Properties of Color Lie Superalgebras....Pages 287-293
Indecomposable Modules Over Artinian Right Serial Rings....Pages 295-304
Nonsingular Extending Modules....Pages 305-311
Right Hereditary, Right Perfect Rings are Semiprimary....Pages 313-316
On the Endomorphism Ring of a Discrete Module: A Theorem of F. Kasch....Pages 317-322
Nonsingular Rings with Finite Type Dimension....Pages 323-333
Back Matter....Pages 335-335