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math.RA2025
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…
math.RA2025
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…
math.RA2025
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…