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A coherence theorem on Schützenberger groups
| Content Provider | Scilit |
|---|---|
| Author | Grillet, Pierre Antoine |
| Copyright Year | 1976 |
| Description | It is well-known that, in any semigroup S, all the left and right Schützenberger groups of the ℋ-class contained in a fixed D class D of S are isomorphic to one group. We prove a sharper result: that, up to actionpreserving isomorphisms, all these Schützenberger groups and their classical isomorphisms are but one group and its identity isomorphism; thus, one group is essentially sufficient to describe not only all the Schützenberger groups of ℋ-classes in D, but their action on these ℋ-classes and classical isomorphisms as well. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D2ED9F3C509CE3AD7CF050C7D289E755/S1446788700017729a.pdf/div-class-title-a-coherence-theorem-on-schutzenberger-groups-div.pdf |
| Ending Page | 143 |
| Page Count | 15 |
| Starting Page | 129 |
| ISSN | 14467887 |
| e-ISSN | 14468107 |
| DOI | 10.1017/s1446788700017729 |
| Journal | Journal of the Australian Mathematical Society |
| Issue Number | 2 |
| Volume Number | 21 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1976-03-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of the Australian Mathematical Society Schützenberger Groups |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
