【摘要】 在R,T是结合代数及R/T是双分离扩张条件下,研究了F∞(T)(FS∞(T))和F∞(R)(FS∞(R))的反变有限性的关系以及有限平坦维数Fin fd(T)(fin fd(T)和Fin fd(R)(fin fd(R))的关系.更多还原

【Abstract】 Let T and R be associative unitary algebras and T be a biseparable extension of R.The contravariant finiteness of the subcategories F~∞(T) and F~∞(R) are studied and the finitistic flat dimensions of T and R where F~∞(T) and F~∞(R) are the subcategories consisting of T-modules and R-modules with finitely flat dimensions are studied respectively.更多还原