On Gorenstein Projective Dimensions of Unbounded Complexes

• 作者: Zhanping WANG Zhongkui LIU
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 761-772
• 页数: 12页
• 语种: 英文
• DOI: 10.1007/s11401-020-0232-7

摘要

Let R → S be a ring homomorphism and X be a complex of R-modules.Then the complex of S-modules S(X)LRX in the derived category D(S) is constructed in the natural way.This paper is devoted to dealing with the relationships of the Gorenstein projective dimension of an R-complex X (possibly unbounded) with those of the S-complex S (X)LR X.It is shown that if R is a Noetherian ring of finite Krull dimension and φ : R → S is a faithfully flat ring homomorphism,then for any homologicaily degree-wise finite complex X,there is an equality GpdRX =Gpds(S (X)LR X).Similar result is obtained for Ding projective dimension of the S-complex S (X)LR X.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Zhongkui LIU		1	0	0.0	0.0
2	Zhanping WANG		1	0	0.0	0.0