Loading...
Please wait, while we are loading the content...
Similar Documents
On weakly multiplicative inverse transversals
| Content Provider | Scilit |
|---|---|
| Author | Blyth, T. S. Santos, M. H. Almeida |
| Copyright Year | 1994 |
| Description | We show that an inverse transversal of a regular semigroup is multiplicative if and only if it is both weakly multiplicative and a quasi-ideal. Examples of quasi-ideal inverse transversals that are not multiplicative are known. Here we give an example of a weakly multiplicative inverse transversal that is not multiplicative. An interesting feature of this example is that it also serves to show that, in an ordered regular semigroup in which every element x has a biggest inverse $x^{0}$, the mapping $x↦x^{00}$ is not in general a closure; nor is x↦x** in a principally ordered regular semigroup. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C14248DB6B3E7288CFC90239CB45C083/S001309150001871Xa.pdf/div-class-title-on-weakly-multiplicative-inverse-transversals-div.pdf |
| Ending Page | 99 |
| Page Count | 9 |
| Starting Page | 91 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s001309150001871x |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 1 |
| Volume Number | 37 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1994-02-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Multiplicative Inverse Weakly Multiplicative Inverse Transversal |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
