Results 21 to 30 of about 1,626 (175)
In this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual ...
Mengmeng Liu, Hongxing Liu
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Stone MV-algebras and strongly complete MV-algebras [PDF]
15 ...
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Relationship Between Hyper MV -algebras and Hyperlattices
Sh. Ghorbani, et al. [9], generalized the concept of MV -algebras and defined the notion of hyper MV -algebras. Now, in this paper, we try to prove that any hyper MV -algebra is a hyperlattice. First we prove that any hyper MV -algebra that satisfies the
Borzooei R. A. +2 more
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Forensic Dynamic Lukasiewicz Logic [PDF]
A forensic dynamic $n$-valued Lukasiewicz logic $FDL_n$ is introduced on the base of $n$-valued Lukasiewicz logic $L_n$ and corresponding to it forensic dynamic $MV_n$-algebra ($FDL_n$-algebra), $1 < n < \omega$, which are algebraic counterparts of ...
Antonio Di Nola, Revaz Grigolia
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MV-algebras freely generated by finite Kleene algebras [PDF]
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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DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS
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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Stone duality above dimension zero: Axiomatising the algebraic theory of C(X) [PDF]
It has been known since the work of Duskin and Pelletier four decades ago that KH^op, the category opposite to compact Hausdorff spaces and continuous maps, is monadic over the category of sets.
Marra, Vincenzo, Reggio, Luca
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Rényi Entropy and Rényi Divergence in Product MV-Algebras
This article deals with new concepts in a product MV-algebra, namely, with the concepts of Rényi entropy and Rényi divergence. We define the Rényi entropy of order q of a partition in a product MV-algebra and its conditional version ...
Dagmar Markechová, Beloslav Riečan
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The connection of hyper lattice implication algebras and related hyper algebras [PDF]
In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras.
Shokoofeh Ghorbani
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Reflectional topology in MV-algebras [PDF]
In this paper, we define soaker ideals in an MV-algebra, and study the relationships between soaker ideals and the other ideals in an involutive MV -algebras.
Fereshteh Forouzesh, Naser Hosseini
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