7 papers
Nilpotency and Engel-Type Theorems for Lie Affgebras
Tarik Anowar, Ripan Saha, Sayan Thokdar
We investigate structural properties of Lie affgebras, viewed as affine analogues of Lie algebras. We introduce the notion of an ideaf, the affine counterpart of an ideal, and esta…
A General Characterization on the Uniqueness Problem of L-Functions and General Meromorphic Functions
Sanjay Mallick, Ripan Saha
In the paper, concerning a question of Yi [23], we study general criterion for the uniqueness of an L-function and a general meromorphic function. Our results improve and extend al…
On Affine Version of Hom-Lie Algebras
Tarik Anowar, Ripan Saha
This paper introduces Hom-type analogues of affine algebraic structures, termed Hom-affgebras. Extending Brzeziński's theory of affgebras and the Hom-algebra framework developed by…
On Hom-Analogues of Heaps and Trusses
Tarik Anowar, Ripan Saha, Sayan Thokdar
This paper introduces Hom-heaps, Hom-trusses, and Hom-braces as Hom-type analogues of their classical counterparts. We establish the correspondence between Hom-heaps and Hom-groups…
Cohomology and Extensions of -Green Functors of Lie Type
Tarik Anowar, Satyendra Kumar Mishra, Ripan Saha
We develop a theory of -Green functors of Lie type, unifying the axiomatic framework of Green functors with the structure of Lie algebras under the action of a cyclic group $C…
Formal deformations and extensions of `twisted' Lie algebras
I. Basdouri, E. Peyghan, M. A. Sadraoui +1
The interplay between derivations and algebraic structures has been a subject of significant interest and exploration. Inspired by Yau's twist and the Leibniz rule, we investigate…
A cohomological study of modified Rota-Baxter associative algebras with derivations
Imed Basdouri, Sami Benabdelhafidh, Mohamed Amin Sadraoui +1
This paper presents a cohomological study of modified Rota-Baxter associative algebras in the presence of derivations. The Modified Rota-Baxter operator, which is a modified versio…