On pseudo BE-algebras

• Autorzy: Rajab Ali Borzooei , Arsham Borumand Saeid , Akbar Rezaei , Akefe Radfar , Reza Ameri
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 06F35: BCK-algebras, BCI-algebras
• 03G25: Other algebras related to logic
• 03B52: Fuzzy logic; logic of vagueness

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2013
• Tom: 33
• Numer: 1
• Strony: 95-108

Daty

wydano

2013

otrzymano

2013-02-22

poprawiono

2013-05-11

Twórcy

autor

Rajab Ali Borzooei

• Department of Mathematics Shahid Beheshti University of Tehran, Tehran, Iran

autor

Arsham Borumand Saeid

• Department of Mathematics Shahid Bahonar University of Kerman, Kerman, Iran

autor

Akbar Rezaei

• Department of Mathematics, Payame Noor University P.O. Box. 19395-3697, Tehran, Iran

autor

Akefe Radfar

• Department of Mathematics, Payame Noor University P.O. Box. 19395-3697, Tehran, Iran

autor

Reza Ameri

• Department of Mathematics, Tehran University Tehran, Iran

Bibliografia

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Identyfikatory

DOI

10.7151/dmgaa.1193