Results 11 to 20 of about 868 (182)
On (⊙, ∨)-derivation for BL-algebras [PDF]
Journal of Hyperstructures, 2013 In this paper, we define the concept of (⊙, ∨)-derivations for BL-algebras and discuss some related results. We study this derivation on boolean center B(A) of a BL-algebra A.
L. Torkzadeh, L. Abbasian
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The Reticulation of a Universal Algebra [PDF]
Scientific Annals of Computer Science, 2018 The reticulation of an algebra A is a bounded distributive lattice L(A) whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of A, endowed with the Stone topologies.
G. Georgescu, C. Mureșan
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Semitopological BL-Algebras and MV -Algebras
Demonstratio Mathematica, 2014 In this paper, by considering the notion of upsets, for any element x of a BL-algebra L, we construct a topology Tx on L and show that L-algebras with this topology formes a semitopological BL-algebras.
Zahiri O., Borzooei R. A.
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Quasi-Uniformity on BL-algebras
Ratio Mathematica, 2018 See the pdf ...
Rajab Ali Borzooei, Nader Kouhestani
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Kuwait Journal of Science, 2016 This article will introduce K-modal BL-algebra and investigate some properties ofthis new algebra. Consequently, K-modal filters and □-tautology filters as filters ofK-modal BL-algebras will be dealt with.
O Yousefi Kia +2 more
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Inverse topology in BL-algebras
پژوهشهای ریاضی, 2020 In this paper, we introduce Inverse topology in a BL-algebra A and prove the set of all minimal prime filters of A, namely Min(A) with the Inverse topology is a compact space, Hausdorff, T0 and T1-Space.
Fereshteh Forouzesh +2 more
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Tense Operators on BL-algebras and Their Applications
Bulletin of the Section of Logic, 2021 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 ...
Akbar Paad
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Kites and pseudo BL-algebras [PDF]
Algebra universalis, 2014 We investigate a construction of a pseudo BL-algebra out of an $\ell$-group called a kite. We show that many well-known examples of algebras related to fuzzy logics can be obtained in that way. We describe subdirectly irreducible kites. As another application, we exhibit a new countably infinite family of varieties of pseudo BL-algebras covering the ...
Dvurečenskij, Anatolij +1 more
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ON SEMI MAXIMAL FILTERS IN BL-ALGEBRAS [PDF]
Journal of Algebraic Systems, 2019 In this paper, first we study the semi maximal filters in linear $BL$-algebras and we prove that any semi maximal filter is a primary filter. Then, we investigate the radical of semi maximal filters in $BL$-algebras.
Akbar Paad, R. A. Borzooei
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Weak Inflationary BL-Algebras and Filters of Inflationary (Pseudo) General Residuated Lattices
Mathematics, 2022 After the research on naBL-algebras gained by the non-associative t-norms and overlap functions, inflationary BL-algebras were also studied as a recent kind of non-associative generalization of BL-algebras, which can be obtained by general overlap ...
Xiaohong Zhang +2 more
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