Advances in Ring Theory

Paperback (Softcover reprint of the original 1st ed. 1997)
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Editorial Reviews

From the Publisher

"[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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Product Details

  • ISBN-13: 9781461273646
  • Publisher: Birkhauser Verlag
  • Publication date: 4/30/2013
  • Series: Trends in Mathematics Series
  • Edition description: Softcover reprint of the original 1st ed. 1997
  • Edition number: 1
  • Pages: 335
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.72 (d)

Table of Contents

Kasch Modules 1
Compactness in Categories and Interpretations 17
A Ring of Morita Context in Which Each Right Ideal is Weakly Self-injective 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
Intersections of Modules 87
Minimal Cogenerators Over Osofsky and Camillo Rings 105
Uniform Modules Over Goldie Prime Serial Rings 119
Co-Versus Contravariant Finiteness of Categories of Representations 129
Monomials and the Lexicographic Order 145
Rings Over Which Direct Sums of CS Modules Are CS 151
Exchange Properties and the Total 161
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 GL[subscript m](ZG) 211
Weak Relative Injective M-Subgenerated Modules 221
Direct Product and Power Series Formations Over 2-Primal Rings 239
Localization in Noetherian Rings 247
Projective Dimension of Ideals in Von Neumann Regular Rings 263
Homological Properties of Color Lie Superalgebras 287
Indecomposable Modules Over Artinian Right Serial Rings 295
Nonsingular Extending Modules 305
Right Hereditary, Right Perfect Rings Are Semiprimary 313
On the Endomorphism Ring of a Discrete Module: A Theorem of F. Kasch 317
Nonsingular Rings with Finite Type Dimension 323
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