Open Access
A
Kernel fuzzy ideals and *-fuzzy congruences on pseudocomplemented almost distributive lattices
*Wondwosen Zemene NorahunCorresponding authorwondie1976@gmail.comDepartment of Mathematics University of Gondar P. O. Box : 196 Gondar EthiopiaGondar, EthiopiaView full profile → , Dawit Solomon Tadessedevatasol@gmail.comDepartment of Mathematics Kotebe Metropolitan University P. O. Box : 31248 Addis Ababa EthiopiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Jan 2021
- Accepted:
- 05 May 2021
- Published Online:
- 24 Feb 2022
- Article type:
- A
- Language:
- EN
- Article no.:
- JDMSC-1411
- Pages:
- 459–478
Abstract
In this paper, we introduce the concept of *-fuzzy congruence relation on a pseudo-complemented almost distributive lattice and we provide a necessary and sufficient condition for a fuzzy congruence to be a *-fuzzy congruence. We also introduce the concept of kernel fuzzy ideals in terms of *-fuzzy congruence. Moreover, we give a set of equivalent condition for a fuzzy ideal to be a kernel fuzzy ideal. We show that every fuzzy filter of a pseudo-complemented ADL is a cokernel of some *-fuzzy congruence.
Keywords
Subject Classifications
(2010) 06D7206F1508A72
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