Strongly Gorenstein Flat Dimensions  

作　　者：Chun Xia ZHANG Li Min WANG 

机构地区：[1]Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2011年第6期977-988,共12页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10961021)

摘　　要：This article is concerned with the strongly Gorenstein flat dimensions of modules and rings.We show this dimension has nice properties when the ring is coherent,and extend the well-known Hilbert＇s syzygy theorem to the strongly Gorenstein flat dimensions of rings.Also,we investigate the strongly Gorenstein flat dimensions of direct products of rings and（almost）excellent extensions of rings.This article is concerned with the strongly Gorenstein flat dimensions of modules and rings.We show this dimension has nice properties when the ring is coherent,and extend the well-known Hilbert＇s syzygy theorem to the strongly Gorenstein flat dimensions of rings.Also,we investigate the strongly Gorenstein flat dimensions of direct products of rings and（almost）excellent extensions of rings.

关 键 词：strongly Gorenstein flat module strongly Gorenstein flat dimension coherent ring direct product （almost）excellent extension 

分 类 号：TS941.631[轻工技术与工程—服装设计与工程] O11[理学—数学]