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Research Article Open access CC BY 4.0

The Algebraic-Function Congruences on Distributive Lattices

Wei Ji

Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 8 May 2019

10.9734/jamcs/2019/v32i130138

Abstract

We propose the Chinese Remainder Theorem in distributive lattices and apply the results to investigate the congruences induced by algebraic functions on distributive lattices. It is shown that the congruence induced by an algebraic function preserves abutment relationships in distributive lattices.

Distributive lattice algebraic function congruence Chinese remainder theorem lattice polynomial function.

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