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On free products of completely regular semigroups
| Content Provider | Scilit |
|---|---|
| Author | Jones, Peter R. |
| Copyright Year | 1994 |
| Description | The free product$ _{*CR}S_{i}$ of an arbitrary family of disjoint completely simple semigroups ${S_{i}}_{i∈i}$, within the variety CR of completely regular semigroups, is described by means of a theorem generalizing that of Kaďourek and Polák for free completely regular semigroups. A notable consequence of the description is that all maximal subgroups of$ _{*CR}S_{i}$ are free, except for those in the factors $S_{i}$ themselves. The general theorem simplifies in the case of free CR-products of groups and, in particular, free idempotent-generated completely regular semigroups. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4DC22BBF574538A8851E42CB76AF820E/S1446788700034844a.pdf/div-class-title-on-free-products-of-completely-regular-semigroups-div.pdf |
| Ending Page | 231 |
| Page Count | 20 |
| Starting Page | 212 |
| ISSN | 02636115 |
| DOI | 10.1017/s1446788700034844 |
| Journal | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics |
| Issue Number | 2 |
| Volume Number | 56 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1994-04-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics Primary 20 M 05 Secondary 08 A 50 |
| Content Type | Text |
| Resource Type | Article |
