【摘要】 本文研究了右ＩＦ－环的性质，证明出环Ｒ是右ＩＦ－环当且仅当Ｒ是左凝聚环，并且是平坦模；由此证明出右ＩＦ－环与左ＧＱＦ－环是等价的，其次应用右ＩＦ－环研究了凝聚环的挠理论性质，证明出凝聚环与Ｔ－凝聚环的关系。更多还原

【Abstract】 This paper discusses some properties of right IF-rings,proves R is a right IF-ringif and only if it is a left coherent ring and is a flat module;thus proves right IF-rings andleft GQF-rings are equivatent secondly,studies some torsion theory properties of the coherentrings by right IF-rings,proves the relation between coherent rings andr r-coherent rings。更多还原