Embedding general algebras into modules

Stronkowski, Michał; Stanovský, David

doi:10.1090/S0002-9939-10-10356-6

Embedding general algebras into modules
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by Michał M. Stronkowski and David Stanovský

Proc. Amer. Math. Soc. 138 (2010), 2687-2699

DOI: https://doi.org/10.1090/S0002-9939-10-10356-6

Published electronically: April 9, 2010

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Abstract:

The problem of embedding general algebras into modules is revisited. We provide a new method of embedding, based on Ježek’s embedding into semimodules. We obtain several interesting consequences: a simpler syntactic characterization of quasi-affine algebras, a proof that quasi-affine algebras without nullary operations are actually quasi-linear, and several facts regarding the “abelian iff quasi-affine” problem.

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