Quotient hyper pseudo BCK-algebras

• Autorzy: Habib Harizavi , Tayebeh Koochakpoor , Rajab Ali Boorzoei
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

hyper pseudo BCK-algebra; normal hyper pseudo BCK-ideal; quotient hyper pseudo BCK-algebra

Kategorie tematyczne

• 06F35: BCK-algebras, BCI-algebras
• 03G25: Other algebras related to logic

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2013
• Tom: 33
• Numer: 2
• Strony: 147-165

Daty

wydano

2013

otrzymano

2013-03-08

poprawiono

2013-09-06

Twórcy

autor

Habib Harizavi

• Departmevnt of Mathemaics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University, Ahvaz, Iran

autor

Tayebeh Koochakpoor

• Departmevnt of Mathemaics, Payame Noor University, Tehran, Iran

autor

Rajab Ali Boorzoei

• Departmevnt of Mathemaics, Shahid Beheshti University, Tehran, Iran

Bibliografia

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Identyfikatory

DOI

10.7151/dmgaa.1205