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Construtions and bimodules of BiHom-alternative and BiHom-Jordan algebras

Published 16 Aug 2020 in math.RA | (2008.07020v1)

Abstract: The aim of this paper is to give some construction results and examples of BiHom-alternative and BiHom-Jordan algebras. Next, we define BiHom-alternative and BiHom-Jordan (bi)modules and we prove that from a given BiHom-alternative and BiHom-Jordan bimodules, a sequence of this kind of bimodules can be constructed. Some relations between Bihom-associative, BiHom-alternative and BiHom-Jordan bimodules are given.

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