西北师范大学学报（自然科学版）2016，Vol.52Issue(3)：1-5,5.DOI:10.16783/j.cnki.nwnuz.2016.03.001
复形的 Cartan-Eilenberg Gorenstein 投射维数
Cartan-Eilenberg Gorenstein projective dimension of complexes
摘要
Abstract
After introducing the concept of Cartan‐Eilenberg (CE ) Gorenstein syzygy complexes , it is proved that a complex K is CE Gorenstein n‐syzygy complex if and only if it is a CE n‐syzygy complex for any positive integer n . Furthermore , an equivalent characterization of CE Gorenstein projective dimension of complexes is given .As applications ,it is proved that a complex existing finite CE Gorenstein projective dimension has a CE Gorenstein projective precover .关键词
CE Gorenstein投射复形/CE Gorenstein投射维数/CE Gorenstein n-合冲复形/CE n-合冲复形Key words
CE Gorenstein projective complex/CE Gorenstein projective dimension/CE Gorenstein n-syzygy complex/CE n-syzygy complex分类
数理科学引用本文复制引用
张春霞,翟晓蕊..复形的 Cartan-Eilenberg Gorenstein 投射维数[J].西北师范大学学报（自然科学版）,2016,52(3):1-5,5.基金项目
国家自然科学基金资助项目 （）
