Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (4): 406-409.

Previous Articles     Next Articles

Divisible Semiring Congruences on Distributive Semiring

  

  1. 1.Department of Mathematics ,Shanghai Jiaotong  University ,Shanghai 200240,China;2.Department of Mathematics ,Shandong Normal  University ,Jinan 250014,China
  • Received:2002-04-01 Online:2003-12-30 Published:2024-04-03
  • About author:LI Shan-hai(1975-),male ,native of Linyi ,Shandong ,studies in Shanghai Jiaotong University as a Ph.D . student ,engages in combinatorial theory and coding theory;LI Shi-zheng(1940-),male ,native of Weifang ,Shandong ,a professor of Shandong Normal University ,engages in algebra .

Abstract: In this paper ,we describe all the divisible semiring congruences on a distributive semiring S   and also establish a one-to-one ,inclusion-preserving mapping from the set  of full ,closed ,self-conja- gate ,ideal subsemirings of S to the set of all divisible semiring congruences on S .

Key words: semiring, divisible semiring, distributive semiring, semiring congruence, divisible semiring
congruence

CLC Number: