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説明
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.
収録刊行物
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- Osaka Journal of Mathematics
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Osaka Journal of Mathematics 19 (1), 189-201, 1982
Osaka University and Osaka City University, Departments of Mathematics
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詳細情報 詳細情報について
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- CRID
- 1390290699786580608
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- NII論文ID
- 120005988148
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- NII書誌ID
- AA00765910
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- DOI
- 10.18910/4264
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- HANDLE
- 11094/4264
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- ISSN
- 00306126
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles