Periodic rings with finitely generated underlying group
We study periodic rings that are finitely generated as groups. We prove several structure results. We classify periodic rings that are free of rank at most 2, and also periodic rings R such that R is finitely generated as a group and R/t(R)≃ℤ. In this way, we construct new classes of periodic rings....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204310422 |
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| Summary: | We study periodic rings that are finitely generated as groups. We
prove several structure results. We classify periodic rings that
are free of rank at most 2, and also periodic rings R such that
R is finitely generated as a group and R/t(R)≃ℤ. In this way, we construct new classes of periodic rings. We
also ask a question concerning the connection to
periodic rings that are finitely generated as rings. |
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| ISSN: | 0161-1712 1687-0425 |