Results 21 to 30 of about 868 (182)
Gődel filters in residuated lattices
In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the ...
Piciu Dana +2 more
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Some Examples of BL-Algebras Using Commutative Rings
BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case.
Cristina Flaut, Dana Piciu
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Boolean Products of BL-Algebras
BL algebras are the Lindenbaum algebras of Hájek's Basic Logic. As shown in \textit{P. Hájek}'s book [Metamathematics of fuzzy logic, Kluwer, Dordrecht, Trends in Logic, Studia Logica Library, Vol. 4 (1998; Zbl 0937.03030)], BL algebras generalize Chang's MV-algebras, symmetric Heyting algebras, and product algebras.
DI NOLA, Antonio +2 more
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Properties of an anti vague filter in BL-algebras
In this paper, we introduce the notion of an anti vague filter of a BL-algebra with illustration, and obtain some related properties. Further, we investigate some equivalent conditions of anti vague filter.
Yahya Mohamed
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BL-Algebras with Permuting Tri-Derivations
Basic logic algebras (BL-algebras) were introduced by Hajek. Multi-value algebras (MV-algebras), Gödel algebras, and product algebras are particular cases of BL-algebras.
Damla Yılmaz
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NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion [PDF]
Using the algebraic geometric approach of Berenstein et {\it al} (hep-th/005087 and hep-th/009209) and methods of toric geometry, we study non commutative (NC) orbifolds of Calabi-Yau hypersurfaces in toric varieties with discrete torsion.
A Belhaj +53 more
core +2 more sources
On Neutrosophic Filter of BL-algebras
The aim of this paper is to introduce the notion of neutrosophic filter in BL- algebras , and several key characteristics are investigated with illustrations.
Ibrahim Abdul, Karunya Helen Gunaseeli S
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Compact representations of BL-algebras
In this paper we define sheaf spaces of BL-algebras (or BL-sheaf spaces), we study completely regular and compact BL-sheaf spaces and compact representations of BL-algebras and, finally, we prove that the category of non-trivial BL-algebras is equivalent with the category of compact local BL-sheaf spaces.
DI NOLA, Antonio, L. LEUSTEAN
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CLOSURE OPERATORS ON BL-ALGEBRAS [PDF]
Summary: We study relationships between closure operators and BL-algebras. We investigate the properties of closure operators and BL-homomorphisms on BL-algebras. We show that the image of a closure operator on a BL-algebra is isomorphic to a quotient BL-algebra.
Ko, Jung Mi, Kim, Yong Chan
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AbstractThe class of bipartite pseudo-BL algebras (denoted ...
Andrzej Walendziak +1 more
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