×

zbMATH — the first resource for mathematics

Characterizations of 0-distributive posets. (English) Zbl 1112.06001
Summary: The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.

MSC:
06A06 Partial orders, general
06C15 Complemented lattices, orthocomplemented lattices and posets
06D15 Pseudocomplemented lattices
PDF BibTeX XML Cite
Full Text: Link EuDML