1. Subdirectly irreducible sectionally pseudocomplemented semilattices
- Creator:
- Halaš, Radomír and Kühr, Jan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- sectionally pseudocomplemented semilattice and weakly standard element
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public