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Higher Structures of Rota--Baxter Lie -Pseudoalgebras
Sania Asif, Zhixiang Wu
This paper investigates Rota--Baxter Lie -pseudoalgebras. We develop a cohomology theory for -weighted relative Rota--Baxter operators via a Maurer--Cartan approach, construc…
Quasi-Twilled Lie Pseudolgebras and Their Deformation Maps
Sania Asif, Zhixiang Wu
In this paper, we present a unified framework for studying cohomology theories of various operators in the context of pseudoalgebras. The central tool in our approach is the notion…
Isoclinism in regular Hom-Lie Yamaguti algebras
Sania Asif, Mohamed Amin Sadraoui
In this paper, we develop the theory of \emph{isoclinism} for regular Hom-Lie Yamaguti algebras, a class that unifies several generalizations of Lie algebras. Although isomorphism…
Cohomology, Homotopy, Extensions, and Automorphisms of Nijenhuis Lie Conformal Algebras
Sania Asif
This paper explores various algebraic and homotopical aspects of Nijenhuis Lie conformal algebras, including their cohomology theory, -structures, non-abelian e…
Exploring Cohomology, Deformations, and Hom-NS Structures in Hom-Leibniz Conformal Algebras through Nijenhuis Operators
Sania Asif
This paper studies the Nijenhuis operator on Hom-Leibniz conformal algebra, defining their representations and cohomologies. We determine the cohomologies for both Hom-Leibniz conf…
Cohomology and deformation theory of -operators on Hom-Lie conformal algebras
Sania Asif, Yao Wang, Bouzid Mosbahi +1
In the present paper, we aim to introduce the cohomology of -operators defined on the Hom-Lie conformal algebra concerning the given representation. To obtain the desi…
Rota-Baxter operators and Loday-type algebras on the BiHom-associative conformal algebras
Sania Asif, Yao Wang
(Tri)dendriform algebras, Rota-Baxter operators, and closely related NS-algebras have a number of dominant applications in physics, especially in quantum field theory. Proceeding f…
Cohomology of Twisted Rota-Baxter operators on Associative~Conformal Algebra
Sania Asif, Lamei Yuan, Yao Wang
In this paper, we examine the concept of twisted Rota-Baxter (TRB) operators on associative conformal algebras. Our strategy begins by constructing an -algebra using Maur…
On the Conformal biderivations and conformal commuting maps on the current Lie Conformal superalgebras
Sania Asif, Wang Yao
Let be a Lie conformal superalgebra and be an associative commutative algebra with unity. We define the current Lie conformal superalgebra by the tensor product $L \otimes…
Derivations, Cohomology and Deformation of BiHom-Associative Dialgebra
Ahmed Zahari, Sania Asif
Due to the immense importance of BiHom Type algebras and cohomology of various algebraic structures, this paper is devoted to defining the BiHom-associative dialgebra, its derivati…
Classification of tridendriform algebra and related structures
Bouzid Mosbahi, Sania Asif, Ahmed Zahari
The classification of algebraic structures and their derivations is an important and ongoing research area in mathematics and physics, and various results have been obtained in thi…
On some derivations of Lie conformal superalgebras
Lipeng Luo, Sania Asif
Let be a Lie conformal superalgebra. In this paper, we first investigate the conformal derivation algebra , the conformal triple derivation algebra…
Conformal triple derivations and triple homomorphisms of Lie conformal algebras
Sania Asif, Lipeng Luo, Yanyong Hong +1
Let be a finite Lie conformal algebra. In this paper, we first investigate the conformal derivation algebra , the conformal triple derivation algeb…