Weak congruences of an algebra with the CEP and the WCIP
Czechoslovak Mathematical Journal (2002)
- Volume: 52, Issue: 1, page 117-127
- ISSN: 0011-4642
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topWalendziak, Andrzej. "Weak congruences of an algebra with the CEP and the WCIP." Czechoslovak Mathematical Journal 52.1 (2002): 117-127. <http://eudml.org/doc/30689>.
@article{Walendziak2002,
abstract = {Here we consider the weak congruence lattice $C_\{W\}(A)$ of an algebra $A$ with the congruence extension property (the CEP for short) and the weak congruence intersection property (briefly the WCIP). In the first section we give necessary and sufficient conditions for the semimodularity of that lattice. In the second part we characterize algebras whose weak congruences form complemented lattices.},
author = {Walendziak, Andrzej},
journal = {Czechoslovak Mathematical Journal},
keywords = {weak congruence; CEP; WCIP; semimodular lattice; complemented lattice; weak congruence lattice; CEP; WCIP; semimodular lattice; complemented lattice; congruence extension property; weak congruence intersection property},
language = {eng},
number = {1},
pages = {117-127},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weak congruences of an algebra with the CEP and the WCIP},
url = {http://eudml.org/doc/30689},
volume = {52},
year = {2002},
}
TY - JOUR
AU - Walendziak, Andrzej
TI - Weak congruences of an algebra with the CEP and the WCIP
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 1
SP - 117
EP - 127
AB - Here we consider the weak congruence lattice $C_{W}(A)$ of an algebra $A$ with the congruence extension property (the CEP for short) and the weak congruence intersection property (briefly the WCIP). In the first section we give necessary and sufficient conditions for the semimodularity of that lattice. In the second part we characterize algebras whose weak congruences form complemented lattices.
LA - eng
KW - weak congruence; CEP; WCIP; semimodular lattice; complemented lattice; weak congruence lattice; CEP; WCIP; semimodular lattice; complemented lattice; congruence extension property; weak congruence intersection property
UR - http://eudml.org/doc/30689
ER -
References
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