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A Topological Duality for k x j-rough Heyting Algebras
(Old City Publishing Inc, 2020-08)
k-rough Heyting algebras were introduced by Eric San Juan as an algebraic formalism for reasoning on finite increasing sequences over Boolean algebras in general and on generalizations of rough set concepts in particular. ...
A topological duality for tense θ -valued Łukasiewicz–Moisil algebras
(Springer Verlag Berlín, 2018-07)
In 2011, tense θ-valued Łukasiewicz–Moisil algebras (or tense LM θ -algebras) were introduced by Chiriţă as an algebraic counterpart of the tense θ-valued Moisil propositional logic. In this paper we develop a topological ...
A topological duality for tense LMn-algebras and applications
(Oxford University Press, 2018-03)
In 2007, tense n-valued Lukasiewicz-Moisil algebras (or tense LMn-algebras) were introduced by Diaconescu and Georgescu as an algebraic counterpart of the tense n-valued Moisil logic. In this article we continue the study ...
Grupo topológico
(Universidade Estadual Paulista (Unesp), 2011-11-10)
Neste trabalho tratamos do objeto matemático Grupo Topológico. Para este desenvolvimento, abordamos elementos básicos de Grupo e Espaço Topológico
NATURAL TOPOLOGIES ON COLOMBEAU ALGEBRAS
(JULIUSZ SCHAUDER CTR NONLINEAR STUDIES, 2009)
We define intrinsic, natural and metrizable topologies T(Omega), T, T(s,Omega) and T(s) in G(Omega), (K) over bar, G(s)(Omega) and (K) over bar (s) respectively. The topology T(Omega) induces T, T(s,Omega) and T(s). The ...
Grupo topológico
(Universidade Estadual Paulista (UNESP), 2014)
Zariski-type topology for implication algebras
(Wiley VCH Verlag, 2010-06)
In this work we provide a new topological representation for implication algebras in such a way that its one- point compactification is the topological space given in [1]. Some applications are given thereof.
Topologias m-ádicas
(Universidade Estadual Paulista (Unesp), 2020-09-02)
Neste trabalho estudaremos as topologias m-ádicas. Para isto, relembraremos alguns conceitos vistos na Álgebra e Topologia que nos ajudarão a avançar nos nossos estudos.
Hilbert algebras with a necessity modal operator
(Jagiellonian University, 2014-10)
We introduce the variety of Hilbert algebras with a modal operator , called H -algebras. The variety of H -algebras is the algebraic counterpart of the f!; g-fragment of the intuitionitic modal logic IntK . We will study ...
Subordination Tarski algebras
(Taylor & Francis, 2019-07)
In this work we will study Tarski algebras endowed with a subordination, called subordination Tarski algebras. We will define the notion of round filters, and we will study the class of irreducible round filters and the ...