Geodesic
$\delta$-ideals in pseudo-complemented distributive lattices
Archivum mathematicum, Tome 48 (2012) no. 2, pp. 97-105 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2012-2-97
Classification : 06D15, 06D99
Keywords: pseudo-complemented distributive lattice; dense element; closed element; $\delta$-ideal; Stone lattice; congruence 
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Sambasiva Rao, M. $\delta$-ideals in pseudo-complemented distributive lattices. Archivum mathematicum, Tome 48 (2012) no. 2, pp. 97-105. doi: 10.5817/AM2012-2-97

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