Some Notes on Semiabelian Rings
It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.
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| Veröffentlicht in: | International Journal of Mathematics and Mathematical Sciences 2011, Vol.2011 (2011), p.142-151-013 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied. |
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| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/2011/154636 |