Zobrazeno 1 - 10
of 331
pro vyhledávání: '"MAKHLOUF, ABDENACER"'
Autor:
Makhlouf, Abdenacer, Ştefan, Dragoş
We extend the classical concept of deformation of an associative algebra, as introduced by Gerstenhaber, by using monoidal linear categories and cocommutative coalgebras as foundational tools. To achieve this goal, we associate to each cocommutative
Externí odkaz:
http://arxiv.org/abs/2412.10952
In this paper, we introduce two types of deformation maps of quasi-twilled associative algebras. Each type of deformation maps unify various operators on associative algebras. Right deformation maps unify modified Rota-Baxter operators of weight $\la
Externí odkaz:
http://arxiv.org/abs/2409.02651
Publikováno v:
SIGMA 20 (2024), 107, 20 pages
In this paper, we develop a method to obtain the algebraic classification of compatible pre-Lie algebras from the classification of pre-Lie algebras of the same dimension. We use this method to obtain the algebraic classification of complex 2-dimensi
Externí odkaz:
http://arxiv.org/abs/2406.10947
The main purpose of this paper is to introduce and investigate the notion of Jacobi-Jordan conformal algebra. They are a generalization of Jacobi-Jordan algebras which correspond to the case in which the formal parameter lambda equals 0. We consider
Externí odkaz:
http://arxiv.org/abs/2401.02206
Autor:
Ma, Tianshui, Makhlouf, Abdenacer
The aim of this paper is to investigate representation theory of infinitesimal (BiHom-)bialgebras of any weight $\l$ (abbr. $\l$-inf(BH)-bialgebras). Firstly, inspired by the well-known Majid-Radford's bosonization theory in Hopf algebra theory, we p
Externí odkaz:
http://arxiv.org/abs/2310.09975
The purpose of this paper is to introduce and study the notion of generalized Reynolds operators on Lie triple systems with representations (Abbr. \textsf{L.t.sRep} pairs) as generalization of weighted Reynolds operators on Lie triple systems. First,
Externí odkaz:
http://arxiv.org/abs/2309.01385
Autor:
Ma, Tianshui, Makhlouf, Abdenacer
The purpose of this paper is to introduce and study $\lambda$-infinitesimal BiHom-bialgebras (abbr. $\l$-infBH-bialgebra) and some related structures. They can be seen as an extension of $\l$-infinitesimal bialgebras considered by Ebrahimi-Fard, incl
Externí odkaz:
http://arxiv.org/abs/2309.01758