Subdirectly irreducible sectionally pseudocomplemented semilattices

Title:

Subdirectly irreducible sectionally pseudocomplemented semilattices

Creator:

Halaš, Radomír and Kühr, Jan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:87f9a728-a8e3-4c4c-bb22-7a8be7fa1784
uuid:87f9a728-a8e3-4c4c-bb22-7a8be7fa1784

Subject:

sectionally pseudocomplemented semilattice and weakly standard element

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Sectionally pseudocomplemented semilattices are an extension of relatively pseudocomplemented semilattices—they are meet-semilattices with a greatest element such that every section, i.e., every principal filter, is a pseudocomplemented semilattice. In the paper, we give a simple equational characterization of sectionally pseudocomplemented semilattices and then investigate mainly their congruence kernels which leads to a characterization of subdirectly irreducible sectionally pseudocomplemented semilattices.

Language:

English

Rights:

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

Coverage:

725-735

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:2

Harvested from:

CDK

Metadata only:

false