Median prime ideals of pseudo-complemented distributive lattices
Archivum Mathematicum (2022)
- Volume: 058, Issue: 4, page 213-226
- ISSN: 0044-8753
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topSambasiva Rao, M.. "Median prime ideals of pseudo-complemented distributive lattices." Archivum Mathematicum 058.4 (2022): 213-226. <http://eudml.org/doc/298896>.
@article{SambasivaRao2022,
abstract = {Coherent ideals, strongly coherent ideals, and $\tau $-closed ideals are introduced in pseudo-complemented distributive lattices and their characterization theorems are derived. A set of equivalent conditions is derived for every ideal of a pseudo-complemented distributive lattice to become a coherent ideal. The notion of median prime ideals is introduced and some equivalent conditions are derived for every maximal ideal of a pseudo-complemented distributive lattice to become a median prime ideal which leads to a characterization of Boolean algebras.},
author = {Sambasiva Rao, M.},
journal = {Archivum Mathematicum},
keywords = {coherent ideal; strongly coherent ideal; median prime ideal; maximal ideal; Stone lattice; Boolean algebra},
language = {eng},
number = {4},
pages = {213-226},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Median prime ideals of pseudo-complemented distributive lattices},
url = {http://eudml.org/doc/298896},
volume = {058},
year = {2022},
}
TY - JOUR
AU - Sambasiva Rao, M.
TI - Median prime ideals of pseudo-complemented distributive lattices
JO - Archivum Mathematicum
PY - 2022
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 058
IS - 4
SP - 213
EP - 226
AB - Coherent ideals, strongly coherent ideals, and $\tau $-closed ideals are introduced in pseudo-complemented distributive lattices and their characterization theorems are derived. A set of equivalent conditions is derived for every ideal of a pseudo-complemented distributive lattice to become a coherent ideal. The notion of median prime ideals is introduced and some equivalent conditions are derived for every maximal ideal of a pseudo-complemented distributive lattice to become a median prime ideal which leads to a characterization of Boolean algebras.
LA - eng
KW - coherent ideal; strongly coherent ideal; median prime ideal; maximal ideal; Stone lattice; Boolean algebra
UR - http://eudml.org/doc/298896
ER -
References
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