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