Subalgebras and homomorphic images of algebras having the CEP and the WCIP
Czechoslovak Mathematical Journal (2004)
- Volume: 54, Issue: 1, page 155-160
- ISSN: 0011-4642
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topWalendziak, Andrzej. "Subalgebras and homomorphic images of algebras having the CEP and the WCIP." Czechoslovak Mathematical Journal 54.1 (2004): 155-160. <http://eudml.org/doc/30845>.
@article{Walendziak2004,
abstract = {In the present paper we consider algebras satisfying both the congruence extension property (briefly the CEP) and the weak congruence intersection property (WCIP for short). We prove that subalgebras of such algebras have these properties. We deduce that a lattice has the CEP and the WCIP if and only if it is a two-element chain. We also show that the class of all congruence modular algebras with the WCIP is closed under the formation of homomorphic images.},
author = {Walendziak, Andrzej},
journal = {Czechoslovak Mathematical Journal},
keywords = {CEP; WCIP; weak congruence; lattice; congruence extension property; weak congruence intersection property; weak congruence lattice},
language = {eng},
number = {1},
pages = {155-160},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Subalgebras and homomorphic images of algebras having the CEP and the WCIP},
url = {http://eudml.org/doc/30845},
volume = {54},
year = {2004},
}
TY - JOUR
AU - Walendziak, Andrzej
TI - Subalgebras and homomorphic images of algebras having the CEP and the WCIP
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 1
SP - 155
EP - 160
AB - In the present paper we consider algebras satisfying both the congruence extension property (briefly the CEP) and the weak congruence intersection property (WCIP for short). We prove that subalgebras of such algebras have these properties. We deduce that a lattice has the CEP and the WCIP if and only if it is a two-element chain. We also show that the class of all congruence modular algebras with the WCIP is closed under the formation of homomorphic images.
LA - eng
KW - CEP; WCIP; weak congruence; lattice; congruence extension property; weak congruence intersection property; weak congruence lattice
UR - http://eudml.org/doc/30845
ER -
References
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