关于特殊的F-预复盖与F-预包络  

On Special F-Precover and F-Preenvelope

作　　者：宋贤梅[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2006年第6期511-513,共3页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金(10571026);安徽省教育厅自然科学基金(2006kj050c);安徽师范大学博士基金

摘　　要：本文主要讨论短正合列上特殊的F-预复盖与F-预包络.假设F是一个右R-模类,而0AλBμC0是一个右R-模的短正合列且A∈F⊥.则可以得到:若F在有限直和下封闭且A,C有特殊的F-预复盖,则B有特殊的F-预复盖.进一步地,若B有特殊的F-预复盖,则C也有特殊的F-预复盖.对于短正合列上特殊的F-预包络,亦有类似结果.In this paper, we mainly discuss special F-precover and F-preenvelope on short exact sequence. Let F be a class of R- modules, and 0 → A λ↑→ B μ↑→ C → 0 be a short exact sequence of right R- modules, where A ∈ F┴. It is proved that if F is closed under finitely direct sum, and A, C have special F-precover then B has a special F-precover. Furthermore, it is showed that if B has a special F-precover with A ∈ F┴ then C has a special F-precover. For the F-preenvelope on short exact sequence, there are similar results.

关 键 词：F-预复盖 特殊的F-预复盖 F-预包络 特殊的F-预包络 

分 类 号：O153.3[理学—数学]