Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 7 Issue 1
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- Pages.53-58
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- 1994
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
On SF-Rings and Semisimple Rings
- Lee, Kyoung Hee (Department of Liberal Arts Korea Institute of Technology And Education)
- Received : 1994.06.10
- Published : 1994.06.30
Abstract
In this note, we study conditions under which SF-rings are semi-simple. We prove that left SF-rings are semisimple for each of the following classes of rings: (1) left non-singular rings of finite rank; (2) rings whose maximal left ideals are finitely generated; (3) rings of pure global dimension zero and (4) rings which is pure-split. Also it is shown that left SF-rings without zero-divisors are semisimple.
Keywords