On lattices and algebras of simple functions

Yurij Aleksandrovich Abramovich; Zbigniew Lipecki

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Displaying similar documents to “On lattices and algebras of simple functions”

Length of ideals in lattices.

Ladislav Beran (1995)

Collectanea Mathematica

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Semiprime ideals in orthomodular lattices

Georges Chevalier (1988)

Commentationes Mathematicae Universitatis Carolinae

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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

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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.

Displaying similar documents to “On lattices and algebras of simple functions”

Length of ideals in lattices.

Semiprime ideals in orthomodular lattices

α -ideals and annihilator ideals in 0-distributive lattices

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