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Fuzzy Lie ideals of Lie algebras with interval-valued membership functions
Authors: M. Akram
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Abstract
In this paper we introduce the notion of interval-valued fuzzy Lie ideals in Lie algebras and investigate some of their properties. Using interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras are established. Construction of a quotient Lie algebra via interval-valued fuzzy Lie ideal in a Lie algebra is given. The interval-valued fuzzy isomorphism theorems are also established.Fulltext
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Contents
- Fuzzy Lie ideals of Lie algebras with interval-valued membership functions
- Counting loops with the inverse property
- On middle translations of finite quasigroups
- Semigroup, monoid and group models of groupoid identities
- Direct product of quasigroups and generalized diagonal subquasigroup
- Algebraic properties of some varieties of central loops
- On reconstructing reducible n-ary quasigroups and switching subquasigroups
- Left almost semigroups defined by a free algebra
- Quasi union hyper K-algebras
- A note on a union hyper K-algebras
- On decomposition of Moufang groupoids
- Greedy quasigroups
