同调方程  

Homological Equations

作　　者：黄兆泳[1] 

机构地区：[1]北京师范大学数学系

出　　处：《数学学报（中文版）》2001年第3期459-468,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学青年基金资助项目(10001017);国家教委留学回国人员科研启动基金资助项目

摘　　要：设Ｒ是左、右凝聚环，Ｒ~ωＲ是一个忠实平衡自正交双模．对有限表现左Ｒ－模Ａ和正整数ｎ，本文研究了形如，　的同调方程．给出了模范畴为有限表现右Ｒ-模｝是子模闭的充要条件，并举例说明了该模范畴并非总是子模闭的，Let R be a left and right coherent ring and R~ωR a faithfully balanced selforthogonal bimodule. For any finitely presented left R-module A and a positive integer n, we study in this paper the homological equations such as A = EXt-R^n(X,ω). The necessary and sufficient conditions of the category of modules {EXt-R^n(B, R) | B is any finitely presented right R-module} being submodule closed are given, and some examples are given to explain that such a category of modules as above is not always submodule closed.

关 键 词：凝聚环 有限表现模 同调方程 子模闭 自正交双模 充要条件 同调代数 

分 类 号：O154.2[理学—数学]