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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 861 - 866 (6page)
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A ring R called left SF if its simple left modules are flat. Regular rings are known to be left SF-rings. However, till date it is unknown whether a left SF-ring is necessarily regular. In this paper, we prove the strong regularity of left (right) complement bounded left SF-rings. We also prove the strong regularity of a class of generalized semicommutative left SF-rings.
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참고문헌 (11)
참고문헌 신청
H. E. Abulkheir / 1996 / Right complement bounded semiprime rings / Acta. Math. Hungar 70(3):227~235
V. S. Ramamurthy / 1975 / On the injectivity and atness of certain cyclic modules / Proc. Amer. Math. Soc. 48:21~25
M. B. Rege / 1986 / On von Neumann regular rings and SF-rings / Math. Japonica 31(6):927~936
Y. Xiao / 1994 / One sided SF-rings with certain chain conditions / Canad. Math. Bull 37(2):272~277
R. Yue Chi Ming / 1987 / Annihilators and strongly regular rings / Rend. Sem.Fac. Sc. Univ. Cagliari 57:51~59
V. S. Ramamurthy / 1975 / On the injectivity and atness of certain cyclic modules / Proc. Amer. Math. Soc. 48:21~25
M. B. Rege / 1986 / On von Neumann regular rings and SF-rings / Math. Japonica 31(6):927~936
Y. Xiao / 1994 / One sided SF-rings with certain chain conditions / Canad. Math. Bull 37(2):272~277
R. Yue Chi Ming / 1987 / Annihilators and strongly regular rings / Rend. Sem.Fac. Sc. Univ. Cagliari 57:51~59
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