Počet záznamov: 1
Factor principal congruences and Boolean products in filtral varieties
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$a 10.1007/s00012-024-00846-8 $2 DOI 035 $a biblio/1153325 $2 CREPC2 100 $a 20240307d2024 m y slo 03 ba 101 0-
$a eng 102 $a CH 200 1-
$a Factor principal congruences and Boolean products in filtral varieties $f Brian A. Davey, Miroslav Haviar 330 $a Motivated by Haviar and Ploščica's 2021 characterisation of Boolean products of simple De Morgan algebras, we investigate Boolean products of simple algebras in filtral varieties. We provide two main theorems. The first yields Werner's Boolean-product representation of algebras in a discriminator variety as an immediate application. The second, which applies to algebras in which the top congruence is compact, yields a generalisation of the Haviar–Ploščcica result to semisimple varieties of Ockham algebras. The property of having factor principal congruences is fundamental to both theorems. While major parts of our general theorems can be derived from results in the literature, we offer new, self-contained and essentially elementary proofs. 463 -1
$1 001 umb_un_cat*0326875 $1 011 $a 0002-5240 $1 011 $a 1420-8911 $1 200 1 $a Algebra Universalis $v Vol. 85, no. 19 (2024), pp. 1-23 $1 210 $a Basel $c Springer Nature Switzerland AG $d 2024 606 0-
$3 umb_un_auth*0037046 $a algebra $X algebra 606 0-
$3 umb_un_auth*0172241 $a Boolean algebra 606 0-
$3 umb_un_auth*0092219 $a kongruencie 608 $3 umb_un_auth*0273282 $a články $X journal articles 700 -0
$3 umb_un_auth*0003450 $a Davey $b Brian A. $4 070 $9 50 701 -0
$3 umb_un_auth*0002686 $a Haviar $b Miroslav $p UMBFP10 $4 070 $9 50 $f 1965- $T Katedra matematiky 801 $a SK $b BB301 $g AACR2 $9 unimarc sk 856 $u https://link.springer.com/article/10.1007/s00012-024-00846-8 T85 $x existuji fulltexy
Počet záznamov: 1