Module Hom-algebras

Donald Yau

Module Hom-algebras

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arxiv 0812.4695 v1 pith:5HWMYD6R submitted 2008-12-26 math.RA

Donald Yau This is my paper · ORCID

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keywords modulehom-algebrasalgebrasactionaffinecalledcertainconstruct

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We study a twisted version of module algebras called module Hom-algebras. It is shown that module algebras deform into module Hom-algebras via endomorphisms. As an example, we construct certain q-deformations of the usual sl(2)-action on the affine plane.

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Structures and bimodules of simple Hom-alternative algebras
math.RA 2019-08 conditional novelty 4.0 of 10

Finite-dimensional simple Hom-alternative algebras are exactly twists of semi-simple alternative algebras by automorphisms, and their bimodules with invertible module twist are equivalent to bimodules of the untwisted...

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