Geodesic
On the rhomboidal heredity in ideal lattices
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 723-726

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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.
Classification : 06B10, 06C05
Keywords: rhomboidal heredity; principal ideal; semiprime ideal; modular lattice; quotient; allele; relatively complemented lattice; weakly perspective; weakly projective quotients 
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     title = {On the rhomboidal heredity in ideal lattices},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a17/}
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Beran, Ladislav. On the rhomboidal heredity in ideal lattices. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 723-726. http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a17/