$\delta$-ideals in pseudo-complemented distributive lattices

Sambasiva Rao, M.. "$\delta $-ideals in pseudo-complemented distributive lattices." Archivum Mathematicum 048.2 (2012): 97-105. <http://eudml.org/doc/246888>.

@article{SambasivaRao2012,
abstract = {The concept of $\delta $-ideals is introduced in a pseudo-complemented distributive lattice and some properties of these ideals are studied. Stone lattices are characterized in terms of $\delta $-ideals. A set of equivalent conditions is obtained to characterize a Boolean algebra in terms of $\delta $-ideals. Finally, some properties of $\delta $-ideals are studied with respect to homomorphisms and filter congruences.},
author = {Sambasiva Rao, M.},
journal = {Archivum Mathematicum},
keywords = {pseudo-complemented distributive lattice; dense element; closed element; $\delta $-ideal; Stone lattice; congruence; pseudocomplemented distributive lattice; dense element; closed element; -ideal; Stone lattice; Boolean algebra; congruence},
language = {eng},
number = {2},
pages = {97-105},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {$\delta $-ideals in pseudo-complemented distributive lattices},
url = {http://eudml.org/doc/246888},
volume = {048},
year = {2012},
}

TY - JOUR
AU - Sambasiva Rao, M.
TI - $\delta $-ideals in pseudo-complemented distributive lattices
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 2
SP - 97
EP - 105
AB - The concept of $\delta $-ideals is introduced in a pseudo-complemented distributive lattice and some properties of these ideals are studied. Stone lattices are characterized in terms of $\delta $-ideals. A set of equivalent conditions is obtained to characterize a Boolean algebra in terms of $\delta $-ideals. Finally, some properties of $\delta $-ideals are studied with respect to homomorphisms and filter congruences.
LA - eng
KW - pseudo-complemented distributive lattice; dense element; closed element; $\delta $-ideal; Stone lattice; congruence; pseudocomplemented distributive lattice; dense element; closed element; -ideal; Stone lattice; Boolean algebra; congruence
UR - http://eudml.org/doc/246888
ER -