【摘要】：通過引入∞-余純平坦模,證明了:R是QF環(huán)當且僅當R是左Noether環(huán),且每個有限表現(xiàn)左R-模是∞-余純平坦模;R是右IF環(huán)當且僅當每個左R-模是∞-余純平坦模;R是左CFH環(huán)當且僅當∞-余純平坦模對子模封閉;左凝聚環(huán)R是左半遺傳環(huán)當且僅當∞-余純平坦左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，

本文編號：2482591