Joshi, Vinayak V.; Waphare, B. N. Characterizations of 0-distributive posets. (English) Zbl 1112.06001 Math. Bohem. 130, No. 1, 73-80 (2005). 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. Cited in 1 ReviewCited in 14 Documents MSC: 06A06 Partial orders, general 06C15 Complemented lattices, orthocomplemented lattices and posets 06D15 Pseudocomplemented lattices Keywords:pseudocomplement; sectionally semi-complemented poset; ideal lattice PDFBibTeX XMLCite \textit{V. V. Joshi} and \textit{B. N. Waphare}, Math. Bohem. 130, No. 1, 73--80 (2005; Zbl 1112.06001) Full Text: DOI EuDML Link