Some properties of the weak subalgebra lattice of a partial algebra of a fixed type
Archivum Mathematicum (2002)
- Volume: 038, Issue: 2, page 81-94
- ISSN: 0044-8753
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topPióro, Konrad. "Some properties of the weak subalgebra lattice of a partial algebra of a fixed type." Archivum Mathematicum 038.2 (2002): 81-94. <http://eudml.org/doc/248948>.
@article{Pióro2002,
abstract = {We investigate, using results from [[p3]], when a given lattice is isomorphic to the weak subalgebra lattice of a partial algebra of a fixed type. First, we reduce this problem to the question when hyperedges of a hypergraph can be directed to a form of directed hypergraph of a fixed type. Secondly, we show that it is enough to consider some special hypergraphs. Finally, translating these results onto the lattice language, we obtain necessary conditions for our algebraic problem, and also, we completely characterize the weak subalgebra lattice for algebras of some types.},
author = {Pióro, Konrad},
journal = {Archivum Mathematicum},
keywords = {hypergraph; weak subalgebra; weak subalgebra lattice; partial algebra; hypergraph; weak subalgebra; weak subalgebra lattice; partial algebra},
language = {eng},
number = {2},
pages = {81-94},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some properties of the weak subalgebra lattice of a partial algebra of a fixed type},
url = {http://eudml.org/doc/248948},
volume = {038},
year = {2002},
}
TY - JOUR
AU - Pióro, Konrad
TI - Some properties of the weak subalgebra lattice of a partial algebra of a fixed type
JO - Archivum Mathematicum
PY - 2002
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 038
IS - 2
SP - 81
EP - 94
AB - We investigate, using results from [[p3]], when a given lattice is isomorphic to the weak subalgebra lattice of a partial algebra of a fixed type. First, we reduce this problem to the question when hyperedges of a hypergraph can be directed to a form of directed hypergraph of a fixed type. Secondly, we show that it is enough to consider some special hypergraphs. Finally, translating these results onto the lattice language, we obtain necessary conditions for our algebraic problem, and also, we completely characterize the weak subalgebra lattice for algebras of some types.
LA - eng
KW - hypergraph; weak subalgebra; weak subalgebra lattice; partial algebra; hypergraph; weak subalgebra; weak subalgebra lattice; partial algebra
UR - http://eudml.org/doc/248948
ER -
References
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