Length of ideals in lattices.
Ladislav Beran (1995)
Collectanea Mathematica
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Displaying similar documents to “Remarks on special ideals in lattices”
Length of ideals in lattices.
On the rhomboidal heredity in ideal lattices
Ladislav Beran (1992)
Commentationes Mathematicae Universitatis Carolinae
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We show that the class of principal ideals and the class of semiprime ideals are rhomboidal hereditary in the class of modular lattices. Similar results are presented for the class of ideals with forbidden exterior quotients and for the class of prime ideals.
Meanders in lattices.
Ladislav Beran (1995)
Collectanea Mathematica
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On midpoints in lattices
Ladislav Beran (1995)
Acta Universitatis Carolinae. Mathematica et Physica
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-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 -ideal to be an annihilator ideal and prime ideal to be an -ideal are given. Also it is proved that the images and the inverse images of -ideals are -ideals under annihilator preserving homomorphisms.