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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.
