Geodesic
Characterizations of 0-distributive posets
Mathematica Bohemica, Tome 130 (2005) no. 1, pp. 73-80

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MR Zbl
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.
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.
DOI : 10.21136/MB.2005.134222
Classification : 06A06, 06A11, 06C15, 06C20, 06D15
Keywords: 0-distributive; pseudocomplement; sectionally semi-complemented poset; ideal lattice 
Joshi, Vinayak V.; Waphare, B. N. Characterizations of 0-distributive posets. Mathematica Bohemica, Tome 130 (2005) no. 1, pp. 73-80. doi: 10.21136/MB.2005.134222
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