具有乘法右适当断面的右富足半群的同余

Congruences on Right Abundant Semigroups with Multiplicative Right Adequate Transversals

【目的】研究具有乘法右适当断面的右富足半群S的基于子半群M,R为构件的结构。【方法】引入用M,R上的同余作成的同余对的概念,给出了S上的相应的同余刻划。【结果】用给出同余刻划方法描述了半群S上的好同余和半群S上的所有好同余的集合作成的同余格。【结论】所得结果丰富和推广了正则半群上的一些相关结果。

[Purposes]Right abundant semigroups was studied with multiplicative right adequate transversals on the basic of the structure related to the build bricks M and R.[Methods]The so-called congruence pair was obtained based on the structure theorem,so that it produces a congruence on Sabstractly.[Findings]The good congruence and the lattice of the set of all good congruences on S were also described here.[Conclusions]The related results for regular semigroups are enriched and extended.