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Distributive Modules and Related Topics
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Distributive Modules and Related Topics Hardback - 1999

by Askar Tuganbaev

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From the publisher

A comprehensive introduction to the homological and structural methods of ring theory and related topics, this book includes original results as well as the most recent work in the field. It is unique in that it concentrates on distributive modules and rings, an area in which the author is recognized as one of the world's leading experts.
A module is said to be distributive if the lattice of its submodules is distributive. Distributive rings are exemplified by factor rings of direct products of division rings, commutative semihereditary rings, and uniserial rings. Direct sums of distributive modules are studied in detail, as well as relations with flat modules and modules whose endomorphisms could be extended or lifted.
Starting from a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. A number of exercises are also included to give further insight into the topics covered and to draw attention to relevant results in the literature. This detailed and comprehensive book will be an invaluable source of reference to researchers and specialists in this area.

First line

1.1 The intersection J(M) of kernels of all homomorphisms from a module M into simple modules is called the Jacobson radical of M. A module M is semiprimitive if J(M) = 0.

Details

  • Title Distributive Modules and Related Topics
  • Author Askar Tuganbaev
  • Binding Hardback
  • Edition First
  • Pages 274
  • Volumes 1
  • Language ENG
  • Publisher CRC Press, Netherlands
  • Publication date August 19, 1999
  • ISBN 9789056991920 / 9056991922
  • Weight 14.02 lbs (6.36 kg)
  • Dimensions 9.19 x 6.13 x 0.97 in (23.34 x 15.57 x 2.46 cm)
  • Category Mathematics
  • Dewey Decimal Code 512

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