Treillis sous-modulaires
Treillis sous-modulaires, II
Über gewisse Sätze vom Foulis-Holland-Typ in Boole'schen Zwerchverbänden.
Length of ideals in lattices.
Meanders in lattices.
Reflections and coreflections in generalized orthomodular lattices
Note on a normality relation in lattices
An approach to solvability in orthomodular lattices
On a construction of amalgamation I
A direct transformation between two fundamental matrix canonical forms
Boolean and orthomodular lattices - a short characterization via commutativity
On Bumby’s equation : a solution via pythagorean triples
Lattice socles and radicals described by a Galois connnection
A new simple approach to linear dependence
On midpoints in lattices
Za akademikem Vladimírem Kořínkem
The investigation of the existence of maximal subgroups of some simple groups
Some types of implicative ideals
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.
On the rhomboidal heredity in ideal lattices
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.
Remarks on special ideals in lattices
The author studies some characteristic properties of semiprime ideals. The semiprimeness is also used to characterize distributive and modular lattices. Prime ideals are described as the meet-irreducible semiprime ideals. In relatively complemented lattices they are characterized as the maximal semiprime ideals. -radicals of ideals are introduced and investigated. In particular, the prime radicals are determined by means of -radicals. In addition, a necessary and sufficient condition for the equality...
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