On the Structures of Abelian π-Regular Rings
Assume that R is an Abelian ring. In this paper, we characterize the structure of R whenever R is π-regular. It is also proved that an Abelian π-regular ring is isomorphic to the subdirect sum of some metadivision rings.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/842313 |
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doaj-2a2ba19354c842eaa79619f4a891603a2020-11-25T01:00:37ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/842313842313On the Structures of Abelian π-Regular RingsJianwei Lu0Liguo He1Department of Mathematics, Shenyang University of Technology, Shenyang 110870, ChinaDepartment of Mathematics, Shenyang University of Technology, Shenyang 110870, ChinaAssume that R is an Abelian ring. In this paper, we characterize the structure of R whenever R is π-regular. It is also proved that an Abelian π-regular ring is isomorphic to the subdirect sum of some metadivision rings.http://dx.doi.org/10.1155/2014/842313 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jianwei Lu Liguo He |
| spellingShingle |
Jianwei Lu Liguo He On the Structures of Abelian π-Regular Rings International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Jianwei Lu Liguo He |
| author_sort |
Jianwei Lu |
| title |
On the Structures of Abelian π-Regular Rings |
| title_short |
On the Structures of Abelian π-Regular Rings |
| title_full |
On the Structures of Abelian π-Regular Rings |
| title_fullStr |
On the Structures of Abelian π-Regular Rings |
| title_full_unstemmed |
On the Structures of Abelian π-Regular Rings |
| title_sort |
on the structures of abelian π-regular rings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2014-01-01 |
| description |
Assume that R is an Abelian ring. In this paper, we characterize the structure of R whenever R is π-regular. It is also proved that an Abelian π-regular ring is isomorphic to the subdirect sum of some metadivision rings. |
| url |
http://dx.doi.org/10.1155/2014/842313 |
| work_keys_str_mv |
AT jianweilu onthestructuresofabelianpregularrings AT liguohe onthestructuresofabelianpregularrings |
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1725212860762554368 |