Sequentially Complete S-acts and Baer Type Criteria Over Semigroups

Authors

  • Hasan Barzegar iranian

Keywords:

Sequentially pure, Injectivity, sequentially complete.

Abstract

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.

Author Biography

Hasan Barzegar, iranian

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How to Cite

Barzegar, H. (2013). Sequentially Complete S-acts and Baer Type Criteria Over Semigroups. European Journal of Pure and Applied Mathematics, 6(2), 211–221. Retrieved from https://ejpam.com/index.php/ejpam/article/view/1745