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MATHEMATICA BOHEMICA, Vol. 130, No. 1, pp. 73-80, 2005
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Characterizations of 0-distributive posets

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Vinayak V. Joshi, B. N. Waphare

* Vinayak V. Joshi*, Department of Mathematics, Government College of Engineering, Pune 411 005, India, e-mail: ` vinayakjoshi111@yahoo.com`; * B. N. Waphare*, Department of Mathematics, University of Pune, Pune 411 007, India, e-mail: ` bnwaph@math.unipune.ernet.in`

**Abstract:** 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.

**Keywords:** 0-distributive, pseudocomplement, sectionally semi-complemented poset, ideal lattice

**Classification (MSC 2000):** 06A06, 06A11, 06C15, 06C20, 06D15

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