摘要
研究了Cartan-Eilenberg Gorenstein AC-内射(投射)复形的若干等价刻画。证明了复形G是Cartan-Eilenberg Gorenstein AC-内射(投射)复形当且仅当G具有Cartan-Eilenberg强完全内射(L完全投射)分解。并且研究了复形的Cartan-Eilenberg Gorenstein AC-内射(投射)维数。
Some equivalent characterizations of Cartan-Eilenberg Gorenstein AC-injective(projective) complexes are studied. It is proved that a complex G is Cartan-Eilenberg Gorenstein injective(projective) if and only if G has a Cartan-Eilenberg strongly complete injective(L complete projective) resolution. Also, the Cartan-Eilenberg Gorenstein AC-injective(projective) dimension of complexes is studied.
作者
张丽英
杨刚
ZHANG Li-ying;YANG Gang(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2020年第4期77-84,共8页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11761045)
甘肃省自然科学基金资助项目(17JR5RA091,18JR3RA113)
兰州交通大学“百名青年优秀人才培养计划”基金资助项目。
