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FUZZY COMMUTATIVE ALGEBRA

by John N Mordeson & D S Malik (Creighton University)

This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an up-to-date version of fuzzy commutative algebra, and focuses on the connection between L-subgroups of a group, and L-subfields of a field. In particular, an up-to-date treatment of nonlinear systems of fuzzy intersection equations is given.


Contents:

  • L-Subsets and L-Subgroups
  • L-Subgroups of Abelian Groups
  • L-Subrings and L-Ideals
  • L-Submodules
  • L-Subfields
  • Structure of L-Subrings and L-Ideals
  • Algebraic L-Varieties and Intersection Equations
  • L-Subspaces
  • Galois Theory and Group L-Subalgebras


Readership: Pure mathematicians.


"The book is self-contained ... This will serve as a nice reference book for researchers in the field. It may also be used as a good text for an advanced graduate course. There are a good number of exercises at the end of each chapter of the book."

Mathematical Reviews




424pp Pub. date: Dec 1998
ISBN 978-981-02-3628-1
981-02-3628-X
US$90 / £56


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 15 May 2008