De Morgan Functions and Free De Morgan Algebras
نویسندگان
چکیده
منابع مشابه
Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity
This paper is the second of a two part series. In this Part, we prove, using the description of simples obtained in Part I, that the variety $mathbf{RDQDStSH_1}$ of regular dually quasi-De Morgan Stone semi-Heyting algebras of level 1 is the join of the variety generated by the twenty 3-element $mathbf{RDQDStSH_1}$-chains and the variety of dually quasi-De Morgan Boolean semi-Heyting algebras--...
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This paper is the first of a two part series. In this paper, we first prove that the variety of dually quasi-De Morgan Stone semi-Heyting algebras of level 1 satisfies the strongly blended $lor$-De Morgan law introduced in cite{Sa12}. Then, using this result and the results of cite{Sa12}, we prove our main result which gives an explicit description of simple algebras(=subdirectly irreducibles) ...
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In this note we show that every de Morgan algebra is isomorphic to a two-subset algebra, 〈P,⊔,⊓,∼, 0P , 1P 〉, where P is a set of pairs (X,Y ) of subsets of a set I, (X,Y )⊔(X , Y ) = (X∩X , Y ∪Y ), (X,Y )⊓(X , Y ) = (X ∪ X , Y ∩ Y ), ∼ (X,Y ) = (Y,X), 1P = (∅, I), and 0P = (I, ∅). This characterization generalizes a previous result that applied only to a special type of de Morgan algebras call...
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2014
ISSN: 2391-4661,0420-1213
DOI: 10.2478/dema-2014-0021