BASIC NOTIONS OF PARTIALLY ORDERED HYPERMODULES

Authors

  • H. Mirabdollahi Yazd University - Department of Mathematics
  • S.M. Anvariyeh Yazd University - Department of Mathematics
  • S. Mirvakili Payame Noor University (PNU) - Department of Mathematics

Keywords:

(partially) ordered hypermodule, (partially) ordered ring, (partially) ordered module, (good) hyperring, (good) hypermodule

Abstract

In this paper, we construct the ring-like hyperstructures derived from a (partially) quasi ordered ring R, and we study some basic properties to this class.  Then, we introduce the new class of (partially) ordered hypermodules by using of the (partially) ordered modules.  Moreover, we study some basic properties of this new class and the essential differences between this class and the earlier one (i.e. ordered modules) are also investigated.

Author Biography

S. Mirvakili, Payame Noor University (PNU) - Department of Mathematics

 

 

Cover of n°40 Italian Journal of Pure and Applied Mathematics

Downloads

Published

2018-07-31

How to Cite

Mirabdollahi, H., Anvariyeh, S., & Mirvakili, S. (2018). BASIC NOTIONS OF PARTIALLY ORDERED HYPERMODULES. Italian Journal of Pure and Applied Mathematics, 40, 9–27. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7064

Issue

N°40 - July 2018

Section

Articoli - Forum Editrice

License

Copyright (c) 2018 H. Mirabdollahi, S.M. Anvariyeh, S. Mirvakili

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)