Tense Operators on BL-algebras and Their Applications

• Autorzy: Akbar Paad

Abstrakty

EN

In this paper, the notions of tense operators and tense filters in \(BL\)-algebras are introduced and several characterizations of them are obtained. Also, the relation among tense \(BL\)-algebras, tense \(MV\)-algebras and tense Boolean algebras are investigated. Moreover, it is shown that the set of all tense filters of a \(BL\)-algebra is complete sublattice of \(F(L)\) of all filters of \(BL\)-algebra \(L\). Also, maximal tense filters and simple tense \(BL\)-algebras and the relation between them are studied. Finally, the notions of tense congruence relations in tense \(BL\)-algebras and strict tense \(BL\)-algebras are introduced and an one-to-one correspondence between tense filters and tense congruences relations induced by tense filters are provided.

Słowa kluczowe

EN

(simple) tense BL-algebra; tense operators; tense filter; tense congruence

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2021
• Tom: 50
• Numer: 3
• Strony: 299-324

Daty

wydano

2021

Twórcy

autor

Akbar Paad

• University of Bojnord, Department of Mathematics

• https://orcid.org/0000000309299830

Bibliografia

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Identyfikatory

DOI

10.18778/0138-0680.2021.11

nonstd.3pn.id

2033857