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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/154636 |
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| _version_ | 1850166975991382016 |
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| author | Junchao Wei Nanjie Li |
| author_facet | Junchao Wei Nanjie Li |
| author_sort | Junchao Wei |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e4d6d5a20d534b02aca88b2ec2b084bf |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e4d6d5a20d534b02aca88b2ec2b084bf2025-08-20T02:21:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/154636154636Some Notes on Semiabelian RingsJunchao Wei0Nanjie Li1School of Mathematics, Yangzhou University, Yangzhou 225002, ChinaSchool of Mathematics, Yangzhou University, Yangzhou 225002, ChinaIt 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.http://dx.doi.org/10.1155/2011/154636 |
| spellingShingle | Junchao Wei Nanjie Li Some Notes on Semiabelian Rings International Journal of Mathematics and Mathematical Sciences |
| title | Some Notes on Semiabelian Rings |
| title_full | Some Notes on Semiabelian Rings |
| title_fullStr | Some Notes on Semiabelian Rings |
| title_full_unstemmed | Some Notes on Semiabelian Rings |
| title_short | Some Notes on Semiabelian Rings |
| title_sort | some notes on semiabelian rings |
| url | http://dx.doi.org/10.1155/2011/154636 |
| work_keys_str_mv | AT junchaowei somenotesonsemiabelianrings AT nanjieli somenotesonsemiabelianrings |