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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.
Topological representation for monadic implication algebras
(De Gruyter, 2009-01-17)
In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra. Inspired by this representation, we introduce the notion of a monadic ...
Topological representation for implication algebras
(Birkhauser Verlag Ag, 2004-11)
In this paper we give a description of an implication algebra A as a union of a unique family of filters of a suitable Boolean algebra Bo(A), called the Boolean closure of A. From this representation we obtain a notion of ...
l-Hemi-Implicative Semilattices
(Springer, 2017-10)
An l-hemi-implicative semilattice is an algebra A=(A,∧,→,1) such that (A,∧,1) is a semilattice with a greatest element 1 and satisfies: (1) for every a,b,c∈A , a≤b→c implies a∧b≤c and (2) a→a=1 . An ...
The population crisis. Implications and plans for action
(Revista Mensaje, 2018)
Representations of cubic lattices by symmetric implication algebras
(Springer, 2006-10-18)
In this paper a cubic lattice L(S) is endowed with a symmetric implication structure and it is proved that L(S) \ {0} is a power of the three-element simple symmetric implication algebra. The Metropolis–Rota’s symmetries ...
Implication and information: A quantitative-informational analysis of material implication
(2018-01-01)
In this chapter, we show the relationship between material implication and the notion of information, comparing it with another notion of implication called probabilistic implication. After some basic definitions are ...
Extraversion: nature, development and implications to psychological health and work life
(Nova Science Publishers, 2014)
Extroversion is a personality trait characterized by gregariousness, excitement-seeking, and positive affect. Sociability is also considered as an important part of extraversion, as persons that enjoy social activities ...
Conditions for permutability of congruences in implication algebras
(Springer, 2009-09)
In this paper we give conditions on an implication algebra A so that two congruences θ1, θ2 on A permute, i.e. θ1 ○ θ2 = θ2 ○ θ1. We also provide simpler conditions for permutability in finite implication algebras. Finally ...