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
    professor assistant of Department of Mathematics, Tfresh university, tafresh, Iran

Downloads

Published

2013-05-02

Issue

Vol. 6 No. 2: (April 2013)

Section

Mathematical Physics

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

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