ON HYPER PSEUDO MV-ALGEBRAS

Authors

  • R.A. Borzooei Shahid Beheshti University - Department of Mathematics
  • O. Zahiri Shahid Beheshti University - Department of Mathematics

Keywords:

hyper (Pseudo) MV-algebra, l-group, filter, ideal, congruence

Abstract

In this paper, we introduce the notion of hyper pseudo MV-algebra as a generalization of pseudo MV-algebra and hyper MV-algebra.  Then we investigate some properties of this structure and attempt to construct a hyper pseudo MV-algebra from a l-group.  Finally, we proved some theorems about filters, ideals, congruence relations, in hyper pseudo MV-algebras. 

Author Biography

O. Zahiri, Shahid Beheshti University - Department of Mathematics

 

 

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Published

2014-12-29

How to Cite

Borzooei, R., & Zahiri, O. (2014). ON HYPER PSEUDO MV-ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 33, 201–224. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6296

Issue

Section

Articoli - Forum Editrice

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