On the effect of doubling of intervals on the 0-distributive property of the lattice of weak congruences of chains

V Gladys Mano Amirtha, Premalatha D.

Abstract


Alan Day’s doubling construction of intervals has been found to affect some properties of the lattice of weak congruences of chains. Here, in this paper, we study how it affects the property of 0-distributivity of the lattice of weak congruences of chains.

Alan Day’s doubling construction of intervals has been found to affect some properties of the lattice of weak congruences of chains. Here, in this paper, we study how it affects the property of 0-distributivity of the lattice of weak congruences of chains.


Keywords


doubling construction in lattices, weak congruence lattices, 0-distributive lattices.

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References


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DOI: http://dx.doi.org/10.23755/rm.v44i0.888

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