P-fuzzy ideals and p-fuzzy filters in p-algebras (Q2092710)
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scientific article; zbMATH DE number 7611748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | P-fuzzy ideals and p-fuzzy filters in p-algebras |
scientific article; zbMATH DE number 7611748 |
Statements
P-fuzzy ideals and p-fuzzy filters in p-algebras (English)
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3 November 2022
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Summary: In this paper, we introduce the concept of p-fuzzy ideals and p-fuzzy filters in a p-algebra. We provide a set of equivalent conditions for a fuzzy ideal to be a p-fuzzy ideal and a p-algebra to be a Boolean algebra. It is proved that the class of p-fuzzy ideals forms a complete distributive lattice. Moreover, we show that there is an isomorphism between the class of p-fuzzy ideals and p-fuzzy filter.
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