On the rhomboidal heredity in ideal lattices
Beran, Ladislav
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 723-726 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1992-01-01
Classification:  06B10,  06C05 
@article{118544,
     author = {Ladislav Beran},
     title = {On the rhomboidal heredity in ideal lattices},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {723-726},
     zbl = {0782.06007},
     mrnumber = {1240194},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118544}
}

Beran, Ladislav. On the rhomboidal heredity in ideal lattices. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 723-726. http://gdmltest.u-ga.fr/item/118544/

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