Reticulation of a 0-distributive Lattice
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2015)
- Volume: 54, Issue: 1, page 121-128
- ISSN: 0231-9721
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topPawar, Y. S.. "Reticulation of a 0-distributive Lattice." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54.1 (2015): 121-128. <http://eudml.org/doc/271581>.
@article{Pawar2015,
abstract = {A congruence relation $\theta $ on a 0-distributive lattice is defined such that the quotient lattice $L/\theta $ is a distributive lattice and the prime spectrum of $L$ and of $L/\theta $ are homeomorphic. Also it is proved that the minimal prime spectrum (maximal spectrum) of $L$ is homeomorphic with the minimal prime spectrum (maximal spectrum) of $L/\theta $.},
author = {Pawar, Y. S.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {0-distributive lattice; ideal; prime ideal; congruence relation; prime spectrum; minimal prime spectrum; maximal spectrum},
language = {eng},
number = {1},
pages = {121-128},
publisher = {Palacký University Olomouc},
title = {Reticulation of a 0-distributive Lattice},
url = {http://eudml.org/doc/271581},
volume = {54},
year = {2015},
}
TY - JOUR
AU - Pawar, Y. S.
TI - Reticulation of a 0-distributive Lattice
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2015
PB - Palacký University Olomouc
VL - 54
IS - 1
SP - 121
EP - 128
AB - A congruence relation $\theta $ on a 0-distributive lattice is defined such that the quotient lattice $L/\theta $ is a distributive lattice and the prime spectrum of $L$ and of $L/\theta $ are homeomorphic. Also it is proved that the minimal prime spectrum (maximal spectrum) of $L$ is homeomorphic with the minimal prime spectrum (maximal spectrum) of $L/\theta $.
LA - eng
KW - 0-distributive lattice; ideal; prime ideal; congruence relation; prime spectrum; minimal prime spectrum; maximal spectrum
UR - http://eudml.org/doc/271581
ER -
References
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