Sequentially Complete S-acts and Baer Type Criteria Over Semigroups
Hasan Barzegar · European Journal of Pure and Applied Mathematics · 2013
Although the Baer Criterion for injectivity is true for modules over a ring with an identity, it is an open problem for acts over a semigroup $S$ (with or without identity). In this work, we study a kind of Baer Criterion for injectivity of acts over a semigroup $S$. We consider a kind of weak injectivity which we call $s$-completeness and give some conditions under which $s$-completeness coincides with injectivity.