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Perfect extensions of de Morgan algebras
Názov Perfect extensions of de Morgan algebras Aut.údaje Miroslav Haviar, Miroslav Ploščica Autor Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Spoluautori Ploščica Miroslav (50%)
Zdroj.dok. Algebra Universalis. Vol. 82, no. 4 (2021), art. no. 58, pp. 1-8. - Basel : Springer Nature Switzerland AG, 2021 Kľúč.slová De Morganova algebra - De Morgan algebra MS-algebra rozšírenie - extension Boolean algebra Form.deskr. články - journal articles Jazyk dok. angličtina Krajina Švajčiarsko Anotácia An algebra A is called a perfect extension of its subalgebra B if every congruence of B has a unique extension to A. This terminology was used by Blyth and Varlet [1994]. In the case of lattices, this concept was described by Grätzer and Wehrung [1999] by saying that A is a congruence-preserving extension of B. Not many investigations of this concept have been carried out so far. The present authors in another recent study faced the question of when a de Morgan algebra M is perfect extension of its Boolean subalgebra B(M), the so-called skeleton of M. In this note a full solution to this interesting problem is given. The theory of natural dualities in the sense of Davey and Werner [1983] and Clark and Davey [1998], as well as Boolean product representations, are used as the main tools to obtain the solution. URL Link na plný text Link na zdrojový dokument Kategória publikačnej činnosti ADC Číslo archívnej kópie 50558 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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