학술논문
On SF-Rings and Semisimple Rings
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- KYOUNG HEE LEE
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 7, No. 1, 53~58쪽, 전체 6쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 1994.06.30
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국문 초록
영문 초록
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.
목차
ABSTRACT
REFERENCES
키워드
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- Stability of Dynamical Polysystems
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- Κε-Stability in Differential Systems
- A Boundary Element Method for Nonlinear Boundary Value Problems
- Noncommutative Versions of Singer-Weriner Theorem
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