Reflexivity of bilattices
Czechoslovak Mathematical Journal (2013)
- Volume: 63, Issue: 4, page 995-1000
- ISSN: 0011-4642
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topKliś-Garlicka, Kamila. "Reflexivity of bilattices." Czechoslovak Mathematical Journal 63.4 (2013): 995-1000. <http://eudml.org/doc/260794>.
@article{Kliś2013,
abstract = {We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice $\mathcal \{L\}$ we may associate a bilattice $\Sigma _\{\mathcal \{L\}\}$. Similarly, having a bilattice $\Sigma $ we may construct a subspace lattice $\mathcal \{L\}_\{\Sigma \}$. Connections between 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 = {Kliś-Garlicka, Kamila},
journal = {Czechoslovak Mathematical Journal},
keywords = {reflexive algebra; reflexive lattice; subspace lattice; bilattice; reflexive lattice; bilattice; subspace lattice; reflexive algebra},
language = {eng},
number = {4},
pages = {995-1000},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Reflexivity of bilattices},
url = {http://eudml.org/doc/260794},
volume = {63},
year = {2013},
}
TY - JOUR
AU - Kliś-Garlicka, Kamila
TI - Reflexivity of bilattices
JO - Czechoslovak Mathematical Journal
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 63
IS - 4
SP - 995
EP - 1000
AB - We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice $\mathcal {L}$ we may associate a bilattice $\Sigma _{\mathcal {L}}$. Similarly, having a bilattice $\Sigma $ we may construct a subspace lattice $\mathcal {L}_{\Sigma }$. Connections between reflexivity of subspace lattices and associated bilattices are investigated. It is also shown that the direct sum of any two bilattices is never reflexive.
LA - eng
KW - reflexive algebra; reflexive lattice; subspace lattice; bilattice; reflexive lattice; bilattice; subspace lattice; reflexive algebra
UR - http://eudml.org/doc/260794
ER -
References
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