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Idempotent Subreducts of Semimodules over Commutative Semirings

Publication at Faculty of Mathematics and Physics |
2009

Abstract

A short proof of the characterization of idempotent subreducts of semimodules, considered over commutative semirings, is presented. It says that an idempotent algebra embeds into a semimodule over a commutative semiring, if and only if it belongs to the variety of Szendrei modes.