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Distributive Congruence Preserving Extensions of Chains


Author(s):

R. Ratha Jeyalakshmi , Mepco Schlenk Engineering College, Sivakasi

Keywords:

Congruence, Separator, Relative Separator, Tensor Product, Distributive Congruence Preserving Extension

Abstract:

In this paper, we give different constructions for finite chains, which are all distributive and congruence preserving extensions of them. Also, we introduce a new concept called relative separator in a lattice. Let L be a lattice and in L. Then is said to be a relative separator of (x,y) if and and . Using this concept we obtain a distributive congruence preserving extension of a chain with minimum cardinality.


Other Details:

Manuscript Id :IJSTEV3I7106
Published in :Volume : 3, Issue : 7
Publication Date: 01/02/2017
Page(s): 174-180
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