Characterizing Semigroups by Sequentially Dense Injective Acts |
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Authors: | Mojgan Mahmoudi Leila Shahbaz |
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Affiliation: | (1) Department of Mathematics, Shahid Beheshti University, Tehran 19839, Iran |
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Abstract: | Sequentially dense monomorphisms and injectivity with respect to these monomorphisms were first introduced and studied by Giuli for acts over the monoid (N∞, min). In this paper we generalize these notions to acts over a general semigroup, and study the behaviour of this notion of injectivity with respect to products, coproducts, and direct sums. As a result we give some characterizations of semigroups. |
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