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Cohen factorizations and Gorenstein dimensions
Wu, Dejun; Song, Mengyu; Wang, Yongduo
2020-05-03
Source PublicationCOMMUNICATIONS IN ALGEBRA
ISSN0092-7872
Volume48Issue:5Pages:1969-1981
AbstractLet be a local homomorphism and X a homologically finite S-complex. Iyengar and Sather-Wagstaff defined the G-dimension and projective dimension of X over by Cohen factorizations and Avramov, Iyengar, and Miller introduced the injective dimension of X over In this article, we define the Gorenstein injective dimension of X over The Bass equality for the Gorenstein injective dimension over local homomorphism is obtained, which generalizes a result of Christensen and Sather-Wagstaff. Some other known results are generalized. For instance, if is finite, then it is shown that This is analogous to a theorem of Holm.
KeywordCohen factorization Gorenstein dimension local homomorphism
DOI10.1080/00927872.2019.1710165
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000526452400010
PublisherTAYLOR & FRANCIS INC
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/64208
Collection兰州理工大学
材料科学与工程学院
Corresponding AuthorWu, Dejun
AffiliationLanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China
First Author AffilicationColl Mat Sci & Engn
Corresponding Author AffilicationColl Mat Sci & Engn
First Signature AffilicationColl Mat Sci & Engn
Recommended Citation
GB/T 7714
Wu, Dejun,Song, Mengyu,Wang, Yongduo. Cohen factorizations and Gorenstein dimensions[J]. COMMUNICATIONS IN ALGEBRA,2020,48(5):1969-1981.
APA Wu, Dejun,Song, Mengyu,&Wang, Yongduo.(2020).Cohen factorizations and Gorenstein dimensions.COMMUNICATIONS IN ALGEBRA,48(5),1969-1981.
MLA Wu, Dejun,et al."Cohen factorizations and Gorenstein dimensions".COMMUNICATIONS IN ALGEBRA 48.5(2020):1969-1981.
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