A semiperfect one-sided injective ring
We construct an example of a ring R: such that i) R is semiperfect, ii) R is right but not left self-injective, iii) R is an essential extension of its socle on the left but not on the right.
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| Veröffentlicht in: | Communications in algebra 1984-01, Vol.12 (16), p.2037-2041 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We construct an example of a ring R: such that i) R is semiperfect, ii) R is right but not left self-injective, iii) R is an essential extension of its socle on the left but not on the right. |
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| ISSN: | 0092-7872 1532-4125 |
| DOI: | 10.1080/00927878408823095 |