Displaying similar documents to “Stone spaces of more partially ordered sets”

α -ideals and annihilator ideals in 0-distributive lattices

Y. S. Pawar, S. S. Khopade (2010)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In a 0-distributive lattice sufficient conditions for an α -ideal to be an annihilator ideal and prime ideal to be an α -ideal are given. Also it is proved that the images and the inverse images of α -ideals are α -ideals under annihilator preserving homomorphisms.

On n-normal posets

Radomír Halaš, Vinayak Joshi, Vilas Kharat (2010)

Open Mathematics

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A poset Q is called n-normal, if its every prime ideal contains at most n minimal prime ideals. In this paper, using the prime ideal theorem for finite ideal distributive posets, some properties and characterizations of n-normal posets are obtained.