STRONGLY DUO AND DUO RIGHT S-ACTS

Authors

  • Mohammad Roueentan Shiraz University - Department of Mathematics
  • Majid Ershad Shiraz University - Department of Mathematics

Keywords:

duo, strongly duo, right S-act

Abstract

New kinds of acts, namely strongly duo and duo acts over a monoid are introduced and investigated.  This leads to the study of the relation between these kinds of acts and other classes of acts, such as injective, projective and multiplication.  It is shown that a projective act is duo if and only if it is a multiplication act.  In addition if S is commutative, then a cyclic S-act is strongly duo if and only if it is cyclic quasi-injective.

Cover of n°32 Italian Journal of Pure and Applied Mathematics

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Published

2014-08-22

How to Cite

Roueentan, M., & Ershad, M. (2014). STRONGLY DUO AND DUO RIGHT S-ACTS. Italian Journal of Pure and Applied Mathematics, 32, 143–154. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6226

Issue

N°32 - August 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Mohammad Roueentan, Majid Ershad

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)