Results 1 to 10 of about 588 (142)

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
doaj   +2 more sources

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.
doaj   +3 more sources

Quasi-Uniformity on BL-algebras

Ratio Mathematica, 2018
See the pdf ...
Rajab Ali Borzooei, Nader Kouhestani
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On annihilators in BL-algebras

Open Mathematics, 2016
In the paper, we introduce the notion of annihilators in BL-algebras and investigate some related properties of them. We get that the ideal lattice (I(L), ⊆) is pseudo-complemented, and for any ideal I, its pseudo-complement is the annihilator I⊥ of I ...
Zou Yu Xi, Xin Xiao Long, Fei He Peng
doaj   +2 more sources

K-MODAL BL-ALGEBRAS

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, E Eslami, Arsham Borumand Saeid   +2 more
doaj   +1 more source

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, Farhad Sajadian, Mahta bedrood   +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, Kowalski, Tomasz   +1 more
openaire   +3 more sources

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, Rong Liang, Benjamín Bedregal   +2 more
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