Rings, Modules, Algebras, and Abelian Groups

Rings, Modules, Algebras, and Abelian Groups

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Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological algebraic structures, and provides more than 600 current references and 570 display equations for further exploration of the topic. It provides stimulating discussions from world-renowned names including Laszlo Fuchs, Robert Gilmer, Saharon Shelah, Daniel Simson, and Richard Swan to celebrate 40 years of study on cumulative rings.

Describing emerging theories
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Product details

  • Paperback | 524 pages
  • 178 x 254 x 23.62mm | 930g
  • CRC Press Inc
  • Bosa Roca, United States
  • English
  • 0824748077
  • 9780824748074

Table of contents

Additives Galois Theory of Modules R. Abraham and P. Schultz; Finitely Generated and Cogenerated QD Groups U. Albrecht and B. Wickless; Direct Limits of Modules of Finite Projective Dimension L. Angeleri Hugel and J. Trlifaj; Classification of a Class of Almost Completely Decomposable Groups E. Blagoveshchenskaya; A Polynomial Ring Sampler J. W. Brewer; The Picard Group of the Ring of Integer-valued Polynomials on a Valuation Domain J-L. Chabert; A Note on Cotilting Modules and Generalized Morita Duality R. R. Colby, R. Colpi, and K. R. Fuller; Dualities Induced by Cotilting Bimodules R. Colpi; Symmetries and Asymmetries for Cotilting Bimodules G D'Este; A Constructive Solution to the Base Change Decomposition Problem in B(1)-groups C. De Vivo and C. Metilli; On a Property of the Adele Ring of the Rationals D. Dikranjan and U. Zannier; On a Strong Going-between, Going-down, and their Universalizations D.E. Dobbs and G. Picavet; Factorization of Divosorial Ideals in a Generalized Krull Domain S. El Baghdadi; Divisorial Multiplication Rings J. Escoriza and B. Torrecillas; Global Deformations of Lie Algebras A. Fialowski.
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Review quote

"This book collects stimulating discussions from world-renowned names . [It] celebrates the past 40 years of study on commutative rings and presents new perspectives on connections between ring theoretic and module theoretic results." - L'Enseignement Mathematique, Vol. 50, 1-2, Jan-Jun 2004
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