半环上的准素同余和同余的准素分解

The primary congruence and the primary decomposition of congruence on semirings

摘要: 主要研究了可换加法幂等元半环上的准素同余，给出了ρ-准素同余的定义，得出了它们结构的一些结果. 在此基础上,通过研究极小准素分解，得到唯一性定理.

Abstract: We study primary congruences on commutative idempotent semirings, givedefinition of ρ-congruence, and obtain some results of their structures. On this basis, the uniqueness theorem is obtained by studying the minimal primary congruence decomposition.