Coaxial filters of distributive lattices
Archivum Mathematicum (2023)
- Volume: 059, Issue: 5, page 397-409
- ISSN: 0044-8753
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topSambasiva Rao, M.. "Coaxial filters of distributive lattices." Archivum Mathematicum 059.5 (2023): 397-409. <http://eudml.org/doc/299131>.
@article{SambasivaRao2023,
abstract = {Coaxial filters and strongly coaxial filters are introduced in distributive lattices and some characterization theorems of $pm$-lattices are given in terms of co-annihilators. Some properties of coaxial filters of distributive lattices are studied. The concept of normal prime filters is introduced and certain properties of coaxial filters are investigated. Some equivalent conditions are derived for the class of all strongly coaxial filters to become a sublattice of the filter lattice.},
author = {Sambasiva Rao, M.},
journal = {Archivum Mathematicum},
keywords = {filter; co-annihilator; coaxial filter; strongly coaxial filter; $pm$-lattice; normal prime filter},
language = {eng},
number = {5},
pages = {397-409},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Coaxial filters of distributive lattices},
url = {http://eudml.org/doc/299131},
volume = {059},
year = {2023},
}
TY - JOUR
AU - Sambasiva Rao, M.
TI - Coaxial filters of distributive lattices
JO - Archivum Mathematicum
PY - 2023
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 059
IS - 5
SP - 397
EP - 409
AB - Coaxial filters and strongly coaxial filters are introduced in distributive lattices and some characterization theorems of $pm$-lattices are given in terms of co-annihilators. Some properties of coaxial filters of distributive lattices are studied. The concept of normal prime filters is introduced and certain properties of coaxial filters are investigated. Some equivalent conditions are derived for the class of all strongly coaxial filters to become a sublattice of the filter lattice.
LA - eng
KW - filter; co-annihilator; coaxial filter; strongly coaxial filter; $pm$-lattice; normal prime filter
UR - http://eudml.org/doc/299131
ER -
References
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