Geodesic
Reticulation of a 0-distributive Lattice
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 121-128 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $.
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 $.
Classification : 06D99
Keywords: 0-distributive lattice; ideal; prime ideal; congruence relation; prime spectrum; minimal prime spectrum; maximal spectrum 
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     author = {Pawar, Y. S.},
     title = {Reticulation of a 0-distributive {Lattice}},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {121--128},
     year = {2015},
     volume = {54},
     number = {1},
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     zbl = {1347.06015},
     language = {en},
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Pawar, Y. S. Reticulation of a 0-distributive Lattice. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 121-128. http://geodesic.mathdoc.fr/item/AUPO_2015_54_1_a8/