Results 21 to 30 of about 2,017 (178)
Lukasiewicz logic and Riesz spaces [PDF]
, 2013 We initiate a deep study of {\em Riesz MV-algebras} which are MV-algebras endowed with a scalar multiplication with scalars from $[0,1]$. Extending Mundici's equivalence between MV-algebras and $\ell$-groups, we prove that Riesz MV-algebras are ...
Di Nola, Antonio, Leustean, Ioana
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Stone MV-algebras and strongly complete MV-algebras [PDF]
Algebra universalis, 2017 15 ...
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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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DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS
Honam Mathematical Journal, 2016 Summary: In this paper, we investigate some new results in MV-algebras and (strong) hyper MV-algebras. We show that for any infinite countable set \(M\), we can construct an MV-algebra and a strong hyper MV-algebra on \(M\). Specially, for any infinite totally bounded set, we can construct a strong hyper MV-algebra on it.
Hamidi, M., Borzooei, R. A.
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Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality [PDF]
, 2013 We study representations of MV-algebras -- equivalently, unital lattice-ordered abelian groups -- through the lens of Stone-Priestley duality, using canonical extensions as an essential tool.
Gehrke, Mai +2 more
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Kullback–Leibler Divergence and Mutual Information of Partitions in Product MV Algebras
Entropy, 2017 The purpose of the paper is to introduce, using the known results concerning the entropy in product MV algebras, the concepts of mutual information and Kullback–Leibler divergence for the case of product MV algebras and examine algebraic properties of ...
Dagmar Markechová, Beloslav Riečan
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Square root of a multivector in 3D Clifford algebras
Nonlinear Analysis, 2020 The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
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Tense like equality algebras [PDF]
Categories and General Algebraic Structures with Applications, 2020 In this paper, first we define the notion of involutive operator on bounded involutive equality algebras and by using it, we introduce a new class of equality algebras that we called it a tense like equality algebra.
Mohammad Ali Hashemi, Rajabali Borzooei
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MV-algebras freely generated by finite Kleene algebras [PDF]
, 2013 If V and W are varieties of algebras such that any V-algebra A has a reduct U(A) in W, there is a forgetful functor U: V->W that acts by A |-> U(A) on objects, and identically on homomorphisms.
Aguzzoli, Stefano +2 more
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PSEUDO MV-ALGEBRAS SI PSEUDO BL-ALGEBRAS [PDF]
Fiabilitate şi Durabilitate, 2013 This material is studying MV-algebras and BL-algebras in terms of applicability in Boolealgebra.Boole algebras expanded use in fuzzy logic.
Constantin BOGDAN +1 more
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