Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Pei Wang and Xiangjun Kong
Pages: [381] - [393]
Received Date: September 4, 2009
Submitted by:
In this paper, the concept of multiplicative orthodox transversals is first introduced, and some properties on multiplicative orthodox transversals are investigated. Then a construction of a regular semigroup with a multiplicative orthodox transversal is established. Finally, two examples are given to show a regular non-orthodox and an orthodox semigroup with a multiplicative orthodox transversal, respectively.
regular semigroup, inverse transversal, orthodox transversal, quasi-ideal.
