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ArticleOriginal scientific text

Title

Quotient hyper pseudo BCK-algebras

Authors 1, 2, 3

Affiliations

  1. Departmevnt of Mathemaics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University, Ahvaz, Iran
  2. Departmevnt of Mathemaics, Payame Noor University, Tehran, Iran
  3. Departmevnt of Mathemaics, Shahid Beheshti University, Tehran, Iran

Abstract

In this paper, we first investigate some properties of the hyper pseudo BCK-algebras. Then we define the concepts of strong and reflexive hyper pseudo BCK-ideals and establish some relationships among them and the other types of hyper pseudo BCK-ideals. Also, we introduce the notion of regular congruence relation on hyper pseudo BCK-algebras and investigate some related properties. By using this relation, we construct the quotient hyper pseudo BCK-algebra and give some related results.

Keywords

ENG
hyper pseudo BCK-algebra, normal hyper pseudo BCK-ideal, quotient hyper pseudo BCK-algebra

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2013/33/2
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Pages:
147-165
Main language of publication
English
Received
2013-03-08
Accepted
2013-09-06
Published
2013

DOI: 10.7151/dmgaa.1205

Exact and natural sciences