Embedding general algebras into modules
Michał M. Stronkowski, David Stanovský · Proceedings of the American Mathematical Society · 2010
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.