Journal of Advances in Mathematics and Computer Science

The Algebraic-Function Congruences on Distributive Lattices

Wei Ji *

College of Science, Guilin University of Technology, Guilin 541004, Guangxi, China.

*Author to whom correspondence should be addressed.

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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.

Keywords: Distributive lattice, algebraic function, congruence, Chinese remainder theorem, lattice polynomial function.

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