- Tytuł:
- Tense Operators on BL-algebras and Their Applications
- Autorzy:
- Paad, Akbar
- Powiązania:
- https://bibliotekanauki.pl/articles/2033857.pdf
- Data publikacji:
- 2021-05-28
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
(simple) tense BL-algebra
tense operators
tense filter
tense congruence - Opis:
- 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.
- Źródło:
-
Bulletin of the Section of Logic; 2021, 50, 3; 299-324
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł