On modules with lifting properties

Harada, Manabu

doi:info:doi/10.18910/4264

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タイトル	On modules with lifting properties
著者	Harada, Manabu 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	19
号	1
開始ページ	189
終了ページ	201
刊行年月	1982
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/4264
言語	英語
DOI	info:doi/10.18910/4264
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 19, Number 1　(1982）

著者版フラグ	publisher
NII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
日付	1982
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.19(1) P.189-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	1982
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/4264
DC.date" 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	info:doi/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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/4264
citation_doi	info:doi/10.18910/4264

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