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Tense Operators on BL-algebras and Their Applications

100%

Paad A.

Bulletin of the Section of Logic

2021

tom 50

nr 3

299-324

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.

Ograniczanie wyników

1 Bulletin of the Section of Logic

1 Paad A.

1 2021

Wyniki wyszukiwania

Tense Operators on BL-algebras and Their Applications