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Perfect extensions of de Morgan algebras
Title Perfect extensions of de Morgan algebras Author info Miroslav Haviar, Miroslav Ploščica Author Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Co-authors Ploščica Miroslav (50%)
Source document Algebra Universalis. Vol. 82, no. 4 (2021), art. no. 58, pp. 1-8. - Basel : Springer Nature Switzerland AG, 2021 Keywords De Morganova algebra - De Morgan algebra MS-algebra rozšírenie - extension Boolean algebra Form. Descr. články - journal articles Language English Country Switzerland Annotation 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 Public work category ADC No. of Archival Copy 50558 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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