Let R be a ring with an identity and C（R） be the category of right R-modules. In this paper we introduce the notion of semi-McCoy module. With this notion we show that McCoy modules of C（R） are closed under kernel...Let R be a ring with an identity and C（R） be the category of right R-modules. In this paper we introduce the notion of semi-McCoy module. With this notion we show that McCoy modules of C（R） are closed under kernels of epimorphisms, and they are also closed under extensions and direct sums with certain conditions. We also get some results on the subcategories of McCoy modules of C（R[x]） and C（R[x; x（-1）]）.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11471017)the Natural Science Foundation of Anhui Higher Education Institutions of China(Grant No.KJ2018A0304)the Doctoral Research Foundation and the Research Culture Foundation of Anhui Normal University(Grant No.2014xmpy11)
文摘Let R be a ring with an identity and C（R） be the category of right R-modules. In this paper we introduce the notion of semi-McCoy module. With this notion we show that McCoy modules of C（R） are closed under kernels of epimorphisms, and they are also closed under extensions and direct sums with certain conditions. We also get some results on the subcategories of McCoy modules of C（R[x]） and C（R[x; x（-1）]）.
