Avramov–Martsinkovsky Type Exact Sequences with Tor Functors

作     者：Chun Xia ZHANG Li LIANG 

作者机构：School of Mathematical SciencesChongqing Normal University School of Mathematics and PhysicsLanzhou Jiaotong University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2017年第33卷第11期

页      面：1569-1577页

核心收录：

学科分类：081702[工学-化学工艺] 07[理学] 08[工学] 0817[工学-化学工程与技术] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11301240,11401475) Natural Science Foundation of Chongqing(cstc2017jcyjAX0298) 

主　　题：Relative homology (generalized) Tate homology Avramov-Martsinkovsky type exact sequence 

摘      要：For two classes of right R-modules W, X such that P W X, where P is the class of projective right R-modules, we show that there is an Avramov-Martsinkovsky type exact sequence with generalized Tate homology functor Tor^X,W, relative homology functors Tor^W and Tor^X. Many results in Iacob [Comm. Algebra, 35, 1589-1606 （2007）] and Liang [Algebr. Represent. Theory, 16, 1541-1560 （2013）] are generalized and improved.