∞-余纯平坦模
发布时间：2019-05-22 02:19
【摘要】：通过引入∞-余纯平坦模,证明了:R是QF环当且仅当R是左Noether环,且每个有限表现左R-模是∞-余纯平坦模;R是右IF环当且仅当每个左R-模是∞-余纯平坦模;R是左CFH环当且仅当∞-余纯平坦模对子模封闭;左凝聚环R是左半遗传环当且仅当∞-余纯平坦左R-模是平坦的.
[Abstract]:By introducing the infinity-copure flat module, it is proved that R is a QF ring if and only if R is a left Noether ring, and each finite representation left R-module is an infinity-Copure flat module, R is a right IF ring if and only if each left R-module is an infinity-copure flat module. R is a left CFH ring if and only if the 鈭，
本文编号：2482591
[Abstract]:By introducing the infinity-copure flat module, it is proved that R is a QF ring if and only if R is a left Noether ring, and each finite representation left R-module is an infinity-Copure flat module, R is a right IF ring if and only if each left R-module is an infinity-copure flat module. R is a left CFH ring if and only if the 鈭，
本文编号：2482591
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