大连民族学院学报
大連民族學院學報
대련민족학원학보
JOURNAL OF DALIAN UNIVERSITY FOR NATIONAL MINORITIES
2014年
5期
524-526
,共3页
内射模%强极小内射模%强极小平坦模
內射模%彊極小內射模%彊極小平坦模
내사모%강겁소내사모%강겁소평탄모
injective module%strong minimal injective module%strong minimal flat module
引入了强极小内射模和强极小平坦模的概念，并且给出了它们一些等价命题及其性质，强极小内射模关于直积、直和项、模扩张封闭，强极小平坦模关于直积、直和项、模扩张、正向极限封闭。
引入瞭彊極小內射模和彊極小平坦模的概唸，併且給齣瞭它們一些等價命題及其性質，彊極小內射模關于直積、直和項、模擴張封閉，彊極小平坦模關于直積、直和項、模擴張、正嚮極限封閉。
인입료강겁소내사모화강겁소평탄모적개념，병차급출료타문일사등개명제급기성질，강겁소내사모관우직적、직화항、모확장봉폐，강겁소평탄모관우직적、직화항、모확장、정향겁한봉폐。
In this paper, we first give the concept of the strong minimal injective module and the strong minimal flat module, and give some equivalent propositions and properties. The strong minimal injective module is closed module on the direct product, direct sum and the expansion of module. The strong minimal flat module is closed module on the direct product, direct sum, the expansion of module and direct limit.
