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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |