Ebook: Advances in Ring Theory

"[The book] shows developments in many subjects of this very active field of rings and modules and it contains a wealth of new ideas, techniques and results delivered by some of the most important researchers in the field..."

--Mathematica

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Content:
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 M?ller....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
Weak Relative Injective M-Subgenerated Modules....Pages 211-219
Direct Product and Power Series Formations Over 2-Primal Rings....Pages 221-238
Localization in Noetherian Rings....Pages 239-245
Projective Dimension of Ideals in von Neumann Regular Rings....Pages 247-262
Homological Properties of Color Lie Superalgebras....Pages 263-285
Indecomposable Modules Over Artinian Right Serial Rings....Pages 287-293
Nonsingular Extending Modules....Pages 295-304
Right Hereditary, Right Perfect Rings are Semiprimary....Pages 305-311
On the Endomorphism Ring of a Discrete Module: A Theorem of F. Kasch....Pages 313-316
Nonsingular Rings with Finite Type Dimension....Pages 317-322
Back Matter....Pages 323-333
....Pages 335-335