On modules with lifting properties

Harada, Manabu

doi:https://doi.org/10.18910/4264

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タイトル	On modules with lifting properties
著者	NRID 1000010046914 1000010046914 著者名 Harada, Manabu
抄録	We have studied the lifiting property on a direct sum of completely indecomposable and cyclic hollow modules over a ring R in [8]. In this note, we shall define the lifting property of decompositions with finite direct summands in § 1 and give characterizations of this in terms of endomorphism rings of R-modules in §2. We shall study, in §3, R-modules with lifting properties and show that they are very closed to R-modules with direct decomposition of completely indecomposable and cyclic hollow modules when R is right noetherian. We shall give the dual results for the extending property and its applications in the forthcoming papers.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	19(1)
ページ	189-201
刊行年月	1982
言語	英語
ハンドルURL	https://hdl.handle.net/11094/4264
DOI	https://doi.org/10.18910/4264
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 19, Number 1　(1982）

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
作成日	1982
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 1982, 19(1), p. 189-201
DC.title	On modules with lifting properties
DC.creator	Harada, Manabu
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	1982
DCTERMS.abstract	We have studied the lifiting property on a direct sum of completely indecomposable and cyclic hollow modules over a ring R in [8]. In this note, we shall define the lifting property of decompositions with finite direct summands in § 1 and give characterizations of this in terms of endomorphism rings of R-modules in §2. We shall study, in §3, R-modules with lifting properties and show that they are very closed to R-modules with direct decomposition of completely indecomposable and cyclic hollow modules when R is right noetherian. We shall give the dual results for the extending property and its applications in the forthcoming papers.
DC.identifier	10.18910/4264
DC.format	application/pdf
citation_doi	https://doi.org/10.18910/4264
citation_title	On modules with lifting properties
citation_author	Harada, Manabu
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	1982
citation_journal_title	Osaka Journal of Mathematics
citation_volume	19
citation_issue	1
citation_firstpage	189
citation_lastpage	201
citation_public_url	https://hdl.handle.net/11094/4264
citation_doi_detail	10.18910/4264

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