On injective and subdirectly irreducible S-acts over left zero semigroups

Authors: GHOLAMREZA MOGHADDASI

Abstract: The aim of this paper is to characterize subdirectly irreducible S-acts over left zero semigroups. Also we compute the number of such acts and specify cogenerators acts over left zero semigroups. To do these we first take another look at the description of injective hulls of the separated S-acts over left zero semigroups.

Keywords: S-act, separated, injective, subdirectly irreducible, left zero semigroup

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