Injective hulls of acts over left zero semigroups
MM Ebrahimi, M Mahmoudi, GM Angizan - Semigroup Forum, 2007 - Springer
MM Ebrahimi, M Mahmoudi, GM Angizan
Semigroup Forum, 2007•SpringerIn this paper, using the notion of" Cauchy sequences", we study the injectivity of acts over left
zero semigroups, and give some equivalent conditions to it. We see that Baer criterion is true
if an identity is adjoined to the semigroup. Further, we find injective hulls of acts over left zero
semigroups. We hope that the technique used here will be useful to study injectivity of acts
over some other more general semigroups.
zero semigroups, and give some equivalent conditions to it. We see that Baer criterion is true
if an identity is adjoined to the semigroup. Further, we find injective hulls of acts over left zero
semigroups. We hope that the technique used here will be useful to study injectivity of acts
over some other more general semigroups.
Abstract
In this paper, using the notion of "Cauchy sequences", we study the injectivity of acts over left zero semigroups, and give some equivalent conditions to it. We see that Baer criterion is true if an identity is adjoined to the semigroup. Further, we find injective hulls of acts over left zero semigroups. We hope that the technique used here will be useful to study injectivity of acts over some other more general semigroups.
Springer
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