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IMI/Publicaţii/QRS/Ediţii/QRS v.16, n.1 (19), 2008/

Fuzzy Lie ideals of Lie algebras with interval-valued membership functions

Authors: M. Akram

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.

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