In [1], Saroj Jain Posed an open Problem: Is a right IF-ring left coherent? In this note, we discuss this problem and Prove that a two-sided IF-ring certainly is twosided coherent,
For a commtative ring R and an injective cogenerator E in the category of R-modules, we characterize QF rings, IF rings and semihereditary rings by using the properties of the dual modules with respect to E.
文摘In [1], Saroj Jain Posed an open Problem: Is a right IF-ring left coherent? In this note, we discuss this problem and Prove that a two-sided IF-ring certainly is twosided coherent,
基金Supported by National Natural Science Foundation of China (10001017)Scientific Research Foundation for Returned Overseas Chi
文摘For a commtative ring R and an injective cogenerator E in the category of R-modules, we characterize QF rings, IF rings and semihereditary rings by using the properties of the dual modules with respect to E.
