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On right self-injective regular semigroups, II
| Content Provider | Scilit |
|---|---|
| Author | Shoji, Kunitaka |
| Copyright Year | 1983 |
| Description | It is shown that a semigroup is right self-injective and a band of groups if and only if it is isomorphic to the spined product of a self-injective semilattice of groups and a right self-injective band. A necessary and sufficient condition for a band to be right self-injective is given. It is shown that a left [right] self-injective semigroup has the [anti-] representation extension property and the right [left] congruence extension property. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B20BE324DE5166B84E954604511A7828/S1446788700023211a.pdf/div-class-title-on-right-self-injective-regular-semigroups-ii-div.pdf |
| Ending Page | 198 |
| Page Count | 17 |
| Starting Page | 182 |
| ISSN | 02636115 |
| DOI | 10.1017/s1446788700023211 |
| Journal | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics |
| Issue Number | 2 |
| Volume Number | 34 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1983-04-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics Right Self Injective Regular Semigroups Injective Regular |
| Content Type | Text |
| Resource Type | Article |