基于Tate平坦分解的Tate同调性质

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英文篇名：Tate homological properties based on the Tate flat resolution 作者：张文汇 ; 张子瀚 英文作者：ZHANG Wen-hui;ZHANG Zi-han;College of Mathematics and Statistics,Northwest Normal University; 关键词：Tate平坦分解 ; n-FC环 ; Tate同调 ; Tate上同调 英文关键词：Tate flat resolution;;n-FC ring;;Tate homology;;Tate cohomology 中文刊名：XBSF 英文刊名：Journal of Northwest Normal University(Natural Science) 机构：西北师范大学数学与统计学院; 出版日期：2018-05-15 出版单位：西北师范大学学报(自然科学版) 年：2018 期：v.54;No.200 基金：国家自然科学基金资助项目(11201376) 语种：中文; 页：XBSF201803004 页数：3 CN：03 ISSN：62-1087/N 分类号：23-25

摘要

在n-FC环上,利用Tate同调函子给出具有有限FP-内射维数模的一个等价刻画,证明了对任意右R-模M,任意左R-模N,以及任意整数i,存在同构■_i~R(M,N)~+≌■_R~i(M,N~+).
        An equivalent characterization of modules with finite FP-injective dimension is given by Tate homology functor over n FC rings,and it is proved that tor ■_i~R(M,N)~+≌■_R~i(M,N~+) for all right Rmodule M,all left R-module Nand all i∈Z.

引文

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