Geodesic
Median prime ideals of pseudo-complemented distributive lattices
Archivum mathematicum, Tome 58 (2022) no. 4, pp. 213-226 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2022-4-213
Classification : 06D99
Keywords: coherent ideal; strongly coherent ideal; median prime ideal; maximal ideal; Stone lattice; Boolean algebra 
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Sambasiva Rao, M. Median prime ideals of pseudo-complemented distributive lattices. Archivum mathematicum, Tome 58 (2022) no. 4, pp. 213-226. doi: 10.5817/AM2022-4-213

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