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ArticleOriginal scientific text

Title

On pseudo BE-algebras

Authors 1, 2, 3, 3, 4

Affiliations

  1. Department of Mathematics Shahid Beheshti University of Tehran, Tehran, Iran
  2. Department of Mathematics Shahid Bahonar University of Kerman, Kerman, Iran
  3. Department of Mathematics, Payame Noor University P.O. Box. 19395-3697, Tehran, Iran
  4. Department of Mathematics, Tehran University Tehran, Iran

Abstract

In this paper, we introduce the notion of pseudo BE-algebra which is a generalization of BE-algebra. We define the concepts of pseudo subalgebras and pseudo filters and prove that, under some conditions, pseudo subalgebra can be a pseudo filter. We prove that every homomorphic image and pre-image of a pseudo filter is also a pseudo filter. Furthermore, the notion of pseudo upper sets in pseudo BE-algebras introduced and is proved that every pseudo filter is an union of pseudo upper sets.

Keywords

ENG
BE-algebra, Pseudo BE-algebra, pseudo filter, pseudo upper set

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2013/33/1
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Pages:
95-108
Main language of publication
English
Received
2013-02-22
Accepted
2013-05-11
Published
2013

DOI: 10.7151/dmgaa.1193

Exact and natural sciences