Journal ArticleDOI
Isoclinic extensions of Lie superalgebras
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In this article, the notion of isoclinism on central extensions of Lie superalgebras was studied and conditions under which central extensions are isocliic were discussed.Abstract:
We study the notion of isoclinism on central extensions of Lie superalgebras and discuss some conditions under which central extensions are isoclinic as well as some results on isoclinic homomorphi...read more
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On multipliers of pairs of Lie superalgebras
TL;DR: In this paper, the notion of the Schur multiplier of a pair of Lie superalgebras was studied and some upper bounds concerning the dimensions of the pair were derived.
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A study of $n$-Lie-isoclinic Leibniz algebras
TL;DR: In this article, the concept of $n$-Lie-isoclinism on non-Lie Leibniz algebras was introduced, and several characterizations of the classes of Leibras with $n-Lie isoclinic properties were provided.
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The Schur multiplier of an $n$-Lie superalgebra
TL;DR: In this article, the notion of the Schur multiplier was studied in the context of a superalgebra with one-dimensional derived super-algebra, and it was shown that the dimension of the superalgebras can be approximated by the sum of the number of Schur multipliers.
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On the Schur Lie-multiplier and Lie-covers of Leibniz n-algebras
Hesam Safa,Guy Roger Biyogmam +1 more
TL;DR: The notion of central extensions of Leibniz n-algebras has been studied in this paper to study properties of Schur -multipliers and -covers on n-Algebra.
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$$\mathsf {Lie}$$-isoclinism in Leibniz n-algebras
Hesam Safa,Guy Roger Biyogmam +1 more
References
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Journal ArticleDOI
On ω-Lie superalgebras
TL;DR: In this article, the authors introduce the notion of an ω-Lie superalgebra and classify all 3-and 4-dimensional superalgebras over the field of complex numbers.
Journal ArticleDOI
On the structure of n-isoclinism classes of groups
TL;DR: In this paper, the internal structure of the n-isoclinism family is discussed. But the internal structures of these families are not discussed. And they do not deal with the relation between groups.
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Multipliers of nilpotent Lie superalgebras
TL;DR: In this article, it was shown that all finite dimensional special Heisenberg Lie superalgebras with even center have the same dimension and are isomorphism with them.