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Reticulation of a 0-distributive Lattice

Y. S. Pawar (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

A congruence relation θ on a 0-distributive lattice is defined such that the quotient lattice L / θ is a distributive lattice and the prime spectrum of L and of L / θ 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 / θ .

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