Displaying similar documents to “Remarks on special 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.