Results 21 to 30 of about 268,118 (176)
Existentially closed Leibniz algebras and an embedding theorem [PDF]
, 2021 summary:In this paper we introduce the notion of existentially closed Leibniz algebras.
Zargeh, Chia
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Description of the automorphism groups of some Leibniz algebras
Researches in Mathematics, 2023 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
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Lie -isoclinism in Leibniz n-algebras
, 2023 We study the notion of Lie-isoclinism on Leibniz n-algebras. This is isoclinism on Leibniz n-algebras relative to Filippov algebras. We provide equivalent conditions under which Leibniz n-algebras are Lie-isoclinic. Also, we provide a characterization of
Safa, Hesam, Biyogmam, Guy R.
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On compatible Leibniz algebras [PDF]
, 2023 In this paper, we study compatible Leibniz algebras. We characterize compatible Leibniz algebras in terms of Maurer-Cartan elements of a suitable differential graded Lie algebra.
Saha, Ripan, Makhlouf, Abdenacer
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, 2020 A finite-dimensional Lie algebra is called an A-algebra if all of its nilpotent subalgebras are abelian. These arise in the study of constant Yang-Mills potentials and have also been particularly important in relation to the problem of describing ...
Towers, David, Towers, David A.
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Varieties of linear algebras of polynomial growth
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The paper is survey of results of investigations on varieties of linear algebras of polynomial growth. We give equivalent conditions of the polynomial codimension growth of a variety of associative algebras, Lie algebras, Leibniz algebras, Poisson ...
Olga I Cherevatenko
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Leibniz algebras with absolute maximal lie subalgebras [PDF]
, 2020 A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras.
Tcheka, C. +3 more
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A new model of the free monogenic digroup
Математичні Студії, 2023 It is well-known that one of open problems in the theory of Leibniz algebras is to find a suitable generalization of Lie’s third theorem which associates a (local) Lie group to any Lie algebra, real or complex. It turns out, this is related to finding an
Yu. V. Zhuchok, G. F. Pilz
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On Hom-Leibniz and Hom-Lie-Yamaguti Superalgebras
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper some characterizations of Hom-Leibniz superalgebras are given and some of their basic properties are found. These properties can be seen as a generalization of corresponding well-known properties of Hom-Leibniz algebras. Considering the Hom-
Attan Sylvain +2 more
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Homotopification and categorification of Leibniz conformal algebras [PDF]
, 2023 Bakalov, Kac and Voronov introduced Leibniz conformal algebras (and their cohomology) as a non-commutative analogue of Lie conformal algebras. Leibniz conformal algebras are closely related to field algebras which are non-skew-symmetric generalizations ...
Sahoo, Anupam, Das, Apurba
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