m-polar fuzzy Lie ideals of Lie algebras

Akram Muhammad; Farooq Adeel

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2024-01-24 12:53

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512.554.3+512.81 (3)

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AKRAM, Muhammad, FAROOQ, Adeel. m-polar fuzzy Lie ideals of Lie algebras. In: Quasigroups and Related Systems, 2016, vol. 24, nr. 2(36), pp. 141-150. ISSN 1561-2848.

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Quasigroups and Related Systems

Volumul 24, Numărul 2(36) / 2016 / ISSN 1561-2848

m-polar fuzzy Lie ideals of Lie algebras

CZU: 512.554.3+512.81

Pag. 141-150

Akram Muhammad¹, Farooq Adeel²

¹ University of the Punjab,
² COMSATS Institute of Information Technology

Disponibil în IBN: 10 martie 2017

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Rezumat

We introduce the notion of an m-polar fuzzy Lie ideal of a Lie algebra and investigate some properties of nilpotency of m-polar fuzzy Lie ideals. We introduce the concept of m-polar fuzzy adjoint representation of Lie algebras and discuss the relationship between this representation and nilpotent m-polar fuzzy Lie ideals. We also de_ne Killing form in them-polar fuzzy case and study some of its properties.

Cuvinte-cheie
m-polar fuzzy Lie ideal, nilpotent Lie ideal, adjoint representation, Killing form

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