Supported by National Natural Science Foundation of China (Grant No. 10571061)
In this paper, we introduce the concept of VT-congruence triples on a regular semigroup S and show how such triples can be constructed by nsing the equivalences on S/L, S/R and the special congruences on S. Also, such...
supported by National Natural Science Foundation of China (Grant No.10571061)
It is well known that the subclass of inverse semigroups and the subclass of completely regular semigroups of the class of regular semigroups form the so called e-varieties of semigroups. However, the class of regular...
Foundation item: the National Natural Science Foundation of China (No. 10571061); the Science Foundation of Guangdong Province (No. 0501332) and the Science Foundation of the Department of Education of Yunnan Province (No. 07C10110).
In this paper,a complete congruence on the congruence lattice of regular semigroups with Q-inverse transversals is analysed.The classes of this complete congruence which are intervals are discussed and their least and...