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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 75 - 81 (7page)
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초록· 키워드
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It is a well-known fact that a ring R is regular if and only if every left R-modules is flat. In this article we prove that a ring R is strongly regular if and only if every left R-modules is reduced if and only if every left-R modules is quasi-reduced.
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참고문헌 (5)
참고문헌 신청
A.Buhpang / 2002 / Semicommutative modules and Armendariz modules / Arab Journal of Math. Sci 18 : 53 ~ 65
C.P.Zhang / 2008 / α-Skew Armendariz and α-Semicommutative modules / Taiwan.J. Of Math 12 (2) : 473 ~ 486
G.Azumaya / 1954 / Strongly -regular Rings / Journal of Fac.Sci.Hokkaido Univ. Ser. I 13 : 34 ~ 39
J.Lambek / 1966 / Lectures on rings and modules / Blaisdell Publishing Company
K.R.Goordearl / 1979 / Von Neumann Regular Rings / Pitman Publ
C.P.Zhang / 2008 / α-Skew Armendariz and α-Semicommutative modules / Taiwan.J. Of Math 12 (2) : 473 ~ 486
G.Azumaya / 1954 / Strongly -regular Rings / Journal of Fac.Sci.Hokkaido Univ. Ser. I 13 : 34 ~ 39
J.Lambek / 1966 / Lectures on rings and modules / Blaisdell Publishing Company
K.R.Goordearl / 1979 / Von Neumann Regular Rings / Pitman Publ
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