THE SOCLE OF THE LAST TERM IN THE MINIMAL INJECTIVE RESOLUTION OF A GORENSTEIN MODULE

Song, Weiling; Zhang, Xiaojin; Huang, Zhaoyong

Osaka Journal of Mathematics, 2019, 56(1), 123-132

アクセス数:100件（2025-07-06 06:58 集計）

固定URL: https://doi.org/10.18910/71139

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タイトル	THE SOCLE OF THE LAST TERM IN THE MINIMAL INJECTIVE RESOLUTION OF A GORENSTEIN MODULE
著者	著者名 Song, Weiling
	著者名 Zhang, Xiaojin
	著者名 Huang, Zhaoyong
抄録	Let R be a left Noetherian ring, S a right Noetherian ring and _RU a Gorenstein module with S = End(_RU). If the injective dimensions of _RU and Uₛ are finite, then the last term in the minimal injective resolution of _RU has an essential socle.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(1)
ページ	123-132
刊行年月	2019-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/71139
DOI	https://doi.org/10.18910/71139
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 56, Number 1 （2019-1）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2019, 56(1), p. 123-132
DC.title	THE SOCLE OF THE LAST TERM IN THE MINIMAL INJECTIVE RESOLUTION OF A GORENSTEIN MODULE
DC.creator	Song, Weiling
	Zhang, Xiaojin
	Huang, Zhaoyong
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2019-01
DCTERMS.abstract	Let R be a left Noetherian ring, S a right Noetherian ring and _RU a Gorenstein module with S = End(_RU). If the injective dimensions of _RU and Uₛ are finite, then the last term in the minimal injective resolution of _RU has an essential socle.
DC.identifier	10.18910/71139
DC.format	71139
citation_title	THE SOCLE OF THE LAST TERM IN THE MINIMAL INJECTIVE RESOLUTION OF A GORENSTEIN MODULE
citation_author	Song, Weiling
	Zhang, Xiaojin
	Huang, Zhaoyong
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	1
citation_firstpage	123
citation_lastpage	132
citation_public_url	https://hdl.handle.net/11094/71139
citation_doi_detail	10.18910/71139
citation_doi	https://doi.org/10.18910/71139