Fuzzy ideals and fuzzy congruences of distributive demi-p-algebras

Alemayehu, Teferi Getachew; Ageze, Zebider Ayenew

doi:10.1080/09720529.2021.2012889

Open Access Research Article

Fuzzy ideals and fuzzy congruences of distributive demi-p-algebras

^*Teferi Getachew AlemayehuCorresponding authorteferigetachew3@gmail.comDepartement of MathematicsDebre Berhan UniversityDebre Birhan, EthiopiaView full profile → , Zebider Ayenew Agezeazib2123@gmail.comDepartement of MathematicsDebre Berhan UniversityDebre Birhan, EthiopiaView full profile →

* Corresponding author · click or hover a name for details

pp. 2127–2137Vol. 26Issue 8December 2023DOI: 10.1080/09720529.2021.2012889 Crossmark XML

Received:: 01 Dec 2020
Accepted:: 01 May 2021
Published Online:: 25 Sep 2022
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-1409
Pages:: 2127–2137

Abstract

In this article, we introduce *-fuzzy ideals of a distributive demi-p-algebra and its properties. We show that every *-fuzzy ideals of distributive demi-p-algebra L are precisely the kernels of the fuzzy congruences Θ on L if and only if its quotient is a Boolean algebra. Also we prove that the set of *-fuzzy ideals forms a complete Heyting algebra.

Keywords

Pseudocomplemented algebra Demi-p-algebra Fuzzy congruence *-Fuzzy ideal

Subject Classifications

(2010) 06D9906D0506D30

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