Subalgebras and homomorphic images of algebras having the CEP and the WCIP

Title:

Subalgebras and homomorphic images of algebras having the CEP and the WCIP

Creator:

Walendziak, Andrzej

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:35b8aad8-da8b-48ba-b6ad-970c7f25956b
uuid:35b8aad8-da8b-48ba-b6ad-970c7f25956b

Subject:

CEP, WCIP, weak congruence, and lattice

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

155-160

Source:

Czechoslovak Mathematical Journal | 2004 Volume:54 | Number:1

Harvested from:

CDK

Metadata only:

false