Intuitionistic (S, T)-fuzzy Lie ideals of Lie algebras
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AKRAM, Muhammad. Intuitionistic (S, T)-fuzzy Lie ideals of Lie algebras . In: Quasigroups and Related Systems, 2007, vol. 15, nr. 2(18), pp. 201-218. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 15, Numărul 2(18) / 2007 / ISSN 1561-2848

Intuitionistic (S, T)-fuzzy Lie ideals of Lie algebras

Pag. 201-218

Akram Muhammad
 
 
 
Disponibil în IBN: 8 decembrie 2013


Rezumat

In this paper we introduce the notion of an intuitionistic (S, T )-fuzzy Lie ideal of a Lie algebra and investigate some related properties. Nilpotency of intuitionistic (S, T )-fuzzy Lie ideals is introduced. Intuitionistic (S, T )- fuzzy of adjoint representation of Lie algebras is introduced and the relation between this representation and nilpotent intuitionistic (S, T )-fuzzy Lie ide- als is discussed. Killing form in the intuitionistic (S, T )-fuzzy case is dened and some of its properties are studied.

Cuvinte-cheie
Lie ideal, nilpotent Lie ideal, adjoint representation, Killing form