Vytlačiť
1. 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 |