An integral domain R is called a locally almost perfect domain provided that Rm is an almost perfect domain for any maximal ideal m of R.In this paper,we give several characterizations of locally almost perfect domain...An integral domain R is called a locally almost perfect domain provided that Rm is an almost perfect domain for any maximal ideal m of R.In this paper,we give several characterizations of locally almost perfect domains in terms of locally perfect rings,almost projective modules,weak-injective modules,almost strongly flat modules and strongly Matlis cotorsion modules.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.12061001).
文摘An integral domain R is called a locally almost perfect domain provided that Rm is an almost perfect domain for any maximal ideal m of R.In this paper,we give several characterizations of locally almost perfect domains in terms of locally perfect rings,almost projective modules,weak-injective modules,almost strongly flat modules and strongly Matlis cotorsion modules.
