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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 651 - 663 (13page)
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초록· 키워드
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In this paper, we first study some characterizations of left MC2 rings. Next,
by introducing left nil−injective modules, we discuss and generalize some well known results for a ring whose simple singular left modules are Y J-injective. Finally, as a byproduct of these results we are able to show that if R is a left MC2 left Goldie ring whose every simple singular left R−module is nil−injective and GJcp−injective, then R is a finite product of simple left Goldie rings.
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참고문헌 (14)
참고문헌 신청
G. O. Michler / 1973 / On rings whose simple modules are injective / J. Alg 25 : 185 ~ 201
J. C. Wei / 2005 / The rings characterized by minimal left ideal / Acta. Math. Sinica. English. Series 21 (3) : 473 ~ 482
J. Chen / 2001 / On generalizations of injectivity, in International Symposium on Ring Theory (Kyongju, 1999) / Birkhauser, Boston, Boston, MA : 85 ~ 94
Jin Yong Kim / 2005 / Certain rings whose simple singular modules are Gp?injective / Proc. Japan Acad. Ser. A 81 : 125 ~ 128
Roger Yue Chi Ming / 1983 / On Quasi-Frobeniusean and Artinian rings / Publications De Linstitut Math ´ematique 33 : 239 ~ 245
J. C. Wei / 2005 / The rings characterized by minimal left ideal / Acta. Math. Sinica. English. Series 21 (3) : 473 ~ 482
J. Chen / 2001 / On generalizations of injectivity, in International Symposium on Ring Theory (Kyongju, 1999) / Birkhauser, Boston, Boston, MA : 85 ~ 94
Jin Yong Kim / 2005 / Certain rings whose simple singular modules are Gp?injective / Proc. Japan Acad. Ser. A 81 : 125 ~ 128
Roger Yue Chi Ming / 1983 / On Quasi-Frobeniusean and Artinian rings / Publications De Linstitut Math ´ematique 33 : 239 ~ 245
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