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On the rhomboidal heredity in ideal lattices. (English) Zbl 0782.06007
Summary: 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.
MSC:
06B10 Lattice ideals, congruence relations
06C05 Modular lattices, Desarguesian lattices
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