r-半群上的Fuzzy同余

Fuzzy Congruences on r-Semigroups

利用半群fuzzy同余的概念,研究π-正则半群上fuzzy同余的性质和特征.在此基础上,给出r-半群上r-半素同余的刻画,得到r-半素同余的性质,最后,引入r-半群上fuzzy r-半素同余的概念,得到一些结果.

In this paper,we use the notion of fuzzy congruence relation on semigroups to study some properties and characterizations of fuzzy congruences on π-Regular semigroups. A structure of r- semiprime congruences on r- semigroups is given,and some properties of r- semiprime congruences on such semigroups are obtained. Finally,we introduce the notion of fuzzy r- semiprime congruences on r- semigroups,and get some results.