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Tense Operators on BL-algebras and Their Applications
Bulletin of the Section of Logic, Tome 50 (2021) no. 3, pp. 299-324.

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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.
Keywords: (simple) tense BL-algebra, tense operators, tense filter, tense congruence 
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Paad, Akbar. Tense Operators on BL-algebras and Their Applications. Bulletin of the Section of Logic, Tome 50 (2021) no. 3, pp. 299-324. http://geodesic.mathdoc.fr/item/BSL_2021_50_3_a1/

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