Subdirectly irreducible sectionally pseudocomplemented semilattices
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 2, page 725-735
- ISSN: 0011-4642
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topHalaš, Radomír, and Kühr, Jan. "Subdirectly irreducible sectionally pseudocomplemented semilattices." Czechoslovak Mathematical Journal 57.2 (2007): 725-735. <http://eudml.org/doc/31158>.
@article{Halaš2007,
abstract = {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.},
author = {Halaš, Radomír, Kühr, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {sectionally pseudocomplemented semilattice; weakly standard element; sectionally pseudocomplemented semilattice; weakly standard element},
language = {eng},
number = {2},
pages = {725-735},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Subdirectly irreducible sectionally pseudocomplemented semilattices},
url = {http://eudml.org/doc/31158},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Halaš, Radomír
AU - Kühr, Jan
TI - Subdirectly irreducible sectionally pseudocomplemented semilattices
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 2
SP - 725
EP - 735
AB - 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.
LA - eng
KW - sectionally pseudocomplemented semilattice; weakly standard element; sectionally pseudocomplemented semilattice; weakly standard element
UR - http://eudml.org/doc/31158
ER -
References
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