Reflexivity of bilattices

Kamila Kliś-Garlicka

Abstract

We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace latticeL we may associate a bilattice ΣL . Similarly, having a bilattice Σ we may construct a subspace latticeLΣ. Connections be-tween reflexivity of subspace lattices and associated bilattices are investigated. It is also shown that the direct sum of any two bilattices is never reflexive.
Author Kamila Kliś-Garlicka (FoEEaLS / DoAM)
Kamila Kliś-Garlicka,,
- Department of Applied Mathematics
Journal seriesCzechoslovak Mathematical Journal, ISSN 0011-4642, (A 15 pkt)
Issue year2013
Vol63
No4
Pages995-1000
Publication size in sheets0.5
Keywords in Englishreflexive algebra, reflexive lattice, subspace lattice, bilattice
DOIDOI:10.1007/s10587-013-0067-4
URL http://link.springer.com/article/10.1007%2Fs10587-013-0067-4#/page-1
Internal identifierWIŚIG/2013/122
Languageen angielski
Score (nominal)15
ScoreMinisterial score = 15.0, 26-07-2017, ArticleFromJournal
Ministerial score (2013-2016) = 15.0, 26-07-2017, ArticleFromJournal
Publication indicators WoS Citations = 2
Citation count*1 (2016-06-04)
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