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$α$ -ideals and annihilator ideals in 0-distributive lattices

Y. S. Pawar; S. S. Khopade — 2010

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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.

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α -ideals and annihilator ideals in 0-distributive lattices

$α$ -ideals and annihilator ideals in 0-distributive lattices