Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Attan, Sylvain"'
Representations of Hom-Jacobi-Jordan algebras are studied. In particular, adjoint representations and trivial representations are studied in detail. Derivations and central extensions of Hom-Jacobi-Jordan algebras are also discussed as an application
Externí odkaz:
http://arxiv.org/abs/2308.04203
Autor:
Attan, Sylvain
Representations and O-operators of Hom-(pre)-Jacobi-Jordan algebras are introduced and studied. The anticommutator of a Hom-pre-Jacobi-Jordan algebra is a Hom-Jacobi-Jordan algebra and the left multiplication operator gives a representation of a Hom-
Externí odkaz:
http://arxiv.org/abs/2105.14650
Autor:
Attan, Sylvain
Representations and relative Rota-Baxter operators with respect to representations of Hom-Leibniz Poisson algebras are introduced and studied. Some characterizations of these operators are obtained. The notion of matched pair and Nijenhuis operators
Externí odkaz:
http://arxiv.org/abs/2105.06310
Autor:
Attan, Sylvain
BiHom-Akivis algebras are introduced. The BiHom-commutator-BiHom-associator algebra of a regular BiHom-algebra is a BiHom-Akivis algebra. It is shown that BiHom-Akivis algebras can be obtained from Akivis algebras by twisting along two algebra endomo
Externí odkaz:
http://arxiv.org/abs/2009.07821
Autor:
Attan, Sylvain, Laraiedh, Ismail
The aim of this paper is to give some construction results and examples of BiHom-alternative and BiHom-Jordan algebras. Next, we define BiHom-alternative and BiHom-Jordan (bi)modules and we prove that from a given BiHom-alternative and BiHom-Jordan b
Externí odkaz:
http://arxiv.org/abs/2008.07020
Autor:
Attan, Sylvain, Laraiedh, Ismail
This paper gives some constructions results and examples of BiHom-Poisson algebras. Next, BiHom-flexible algebras are defined and it is shown that admissible BiHom-Poisson algebras are BiHom-flexible. Furthermore, generalized derivations of Bihom-Poi
Externí odkaz:
http://arxiv.org/abs/2008.04763
Autor:
Attan, Sylvain
This paper is mainly devoted to a structure study of Hom-alternative algebras . Equivalent conditions for Hom-alternative algebras being solvable, simple and semi-simple are displayed. Moreover some results about Hom-alternative bimodule are found.
Externí odkaz:
http://arxiv.org/abs/1908.08711
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
Externí odkaz:
http://arxiv.org/abs/1805.04998
Autor:
Attan, Sylvain
In this paper, bimodules over Hom-Jordan algebras and the ones over Hom-alternative algebras are defined. It is shown that bimodules over Jordan and alternative algebras are twisted into bimodules over Hom-Jordan and Hom-alternative algebras via endo
Externí odkaz:
http://arxiv.org/abs/1804.00835
In a Hom-superalgebra, a super-identity equivalent to the Hom-Malcev super-identity is found.
Externí odkaz:
http://arxiv.org/abs/1708.03349