Advances in Ring Theory

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Springer Science & Business Media, 1997 - Mathematics - 333 pages
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Presenting current developments and trends in ring theory, this text highlights newer techniques as well as those that are more established.
 

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Contents

Kasch Modules
1
Compactness in Categories and Interpretations
17
A Ring of Morita Context in Which Each Right Ideal is Weakly SelfInjective
31
Splitting Theorems and a Problem of Muller
39
Decompositions of D1 Modules
49
Right Cones in Groups
65
On Extensions of Regular Rings of Finite Index by Central Elements
73
Intersection Modules
87
Local Bijective Gabriel Correspondence and Torsion Theoretic FBN Rings
175
Normalizing Extensions and the Second Layer Condition
191
Generators of Subgroups of Finite Index in GLmZG
211
Weak Relative Injective MSubgenerated Modules
221
Direct Product and Power Series Formation over 2Primal Rings
239
Localization in Noetherian Rings
247
Projective Dimension of Ideals in Von Neumann Regular Rings
263
Homological Properties of Color Lie Superalgebras
287

Minimal Congenerators Over Osofsky and Camillo Rings
105
Uniform Modules Over Goldie Prime Serial Rings
119
Co Versus Contravariant Finiteness of Categories
129
Monomials and the Lexicographic Order
145
Rings Over Which Direct Sums of CS Modules Are CS
151
Exchange Properties and the Total
161
Indecomposable Modules Over Artinian right Serial Rings
295
Nonsingular Extending Modules
305
Right Hereditary Right Perfect Rings Are Semiprimary
313
A Theorem of F Kasch
317
Nonsingular Rings with Finite Type Dimension
323
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