JP Journal of Algebra, Number Theory and Applications
Volume 2, Issue 2, Pages 131 - 136
(August 2002)
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A NOTE ON FUZZY LIE ALGEBRAS
B. Davvaz (Iran)
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Abstract: In this paper we obtain some
new results concerning the fuzzy ideals of Lie
algebras. We give a construction of a quotient Lie
algebra L/A induced via fuzzy ideal
A in a Lie algebra L. The fuzzy
isomorphism theorems are established. Also, we prove
that if L is a semisimple Lie algebra then we
can interpret L as a direct sum of some level
subsets of fuzzy ideals. |
Keywords and phrases: Lie algebra, fuzzy set. |
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