Characterizations of 0-distributive posets
Vinayak V. Joshi, B. N. Waphare · Mathematica Bohemica · 2005
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.