Injective Hulls of Acts over Left Zero Semigroups |
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| Authors: | MM Ebrahimi M Mahmoudi and Gh Moghaddasi Angizan |
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| Institution: | (1) Department of Mathematics and Center of Excellence in Algebraic and Logical Structures in Discrete Mathematics, Shahid Beheshti University, Tehran 19839, Iran;(2) Department of Mathematics, Shahid Beheshti University, Tehran 19839, Iran and Sabzevar Teachers Training University, Sabzevar, Iran |
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| 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. |
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