학술저널
On SF-Rings and Semisimple Rings
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 7, No. 1
-
1994.0653 - 58 (6 pages)
- 0
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.
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