富足半群上的F-好同余

Fuzzy Good Congruences on Abundant Semigroups

引入了富足半群上F-好同余的概念,给出了富足半群上F-好同余的性质和特征。在此基础上,得到了富足半群上F-好同余的并为F-好同余的相关条件。最后,进一步对拟适当半群上的F-好同余作了讨论并得到了一些性质。

This paper introduces the notion of a fuzzy good congruence relation on abundant semigroups, and gives some properties and characterizations of fuzzy good congruences on such semigroups. Some conditions for a join of fuzzy good congruences on abundant semigroups to be a fuzzy good congruence are proved. Finally, some properties of fuzzy good congruences on quasi-adequate semigroups are discussed.