The Lattice of all Systems of -Ideals in a Set
Judita Lihová (1972)
Matematický časopis
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Judita Lihová (1972)
Matematický časopis
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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.
Ladislav Beran (1998)
Commentationes Mathematicae Universitatis Carolinae
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This paper studies basic properties for five special types of implicative ideals (modular, pentagonal, even, rectangular and medial). The results are used to prove characterizations of modularity and distributivity.