# Characterizations of 0-distributive posets

Vinayak V. Joshi; B. N. Waphare

Mathematica Bohemica (2005)

- Volume: 130, Issue: 1, page 73-80
- ISSN: 0862-7959

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topJoshi, Vinayak V., and Waphare, B. N.. "Characterizations of 0-distributive posets." Mathematica Bohemica 130.1 (2005): 73-80. <http://eudml.org/doc/249581>.

@article{Joshi2005,

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.},

author = {Joshi, Vinayak V., Waphare, B. N.},

journal = {Mathematica Bohemica},

keywords = {0-distributive; pseudocomplement; sectionally semi-complemented poset; ideal lattice; pseudocomplement; sectionally semi-complemented poset; ideal lattice},

language = {eng},

number = {1},

pages = {73-80},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Characterizations of 0-distributive posets},

url = {http://eudml.org/doc/249581},

volume = {130},

year = {2005},

}

TY - JOUR

AU - Joshi, Vinayak V.

AU - Waphare, B. N.

TI - Characterizations of 0-distributive posets

JO - Mathematica Bohemica

PY - 2005

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 130

IS - 1

SP - 73

EP - 80

AB - 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.

LA - eng

KW - 0-distributive; pseudocomplement; sectionally semi-complemented poset; ideal lattice; pseudocomplement; sectionally semi-complemented poset; ideal lattice

UR - http://eudml.org/doc/249581

ER -

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