Počet záznamov: 1
Canonical extensions of lattices are more than perfect
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$a 10.1007/s00012-022-00769-2 $2 DOI 035 $a biblio/473831 $2 CREPC2 100 $a 20220413d2022 m y slo 03 ba 101 0-
$a eng 102 $a CH 200 1-
$a Canonical extensions of lattices are more than perfect $f Andrew P. K. Craig, Maria J. Gouveia, Miroslav Haviar 330 $a In a paper published in 2015, we introduced TiRS graphs and TiRS frames to create a new natural setting for duals of canonical exten sions of lattices. Here, we firstly introduce morphisms of TiRS structures and put our correspondence between TiRS graphs and TiRS frames into a full categorical framework. We then answer Problem 2 from our 2015 paper by characterising the perfect lattices that are dual to TiRS frames (and hence TiRS graphs). We introduce a new subclass of perfect lattices called PTi lattices and show that the canonical extensions of lattices are PTi lattices, and so are ‘more’ than just perfect lattices. We illustrate the correspondences between classes of our newly-described PTi lattices and classes of TiRS graphs by examples. We conclude by outlining a direction for future research. 463 -1
$1 001 umb_un_cat*0307680 $1 011 $a 0002-5240 $1 011 $a 1420-8911 $1 200 1 $a Algebra Universalis $v Vol. 83, no. 2 (2022), pp. [1-17] $1 210 $a Basel $c Springer Nature Switzerland AG $d 2022 606 0-
$3 umb_un_auth*0121507 $a kanonické rozšírenia 606 0-
$3 umb_un_auth*0036218 $a matematika $X mathematics 608 $3 umb_un_auth*0273282 $a články $X journal articles 700 -1
$3 umb_un_auth*0226852 $a Craig $b Andrew, P. K. $4 070 $9 34 701 -1
$3 umb_un_auth*0183298 $a Gouveia $b Maria Joao $4 070 $9 33 701 -0
$a Haviar $b Miroslav $p UMBFP10 $4 070 $9 33 $3 umb_un_auth*0002686 $f 1965- $T Katedra matematiky 801 $a SK $b BB301 $g AACR2 $9 unimarc sk 856 $u https://link.springer.com/article/10.1007/s00012-022-00769-2 $a Link na plný text T85 $x existuji fulltexy
Počet záznamov: 1