紀要論文

紀要論文

text

1982

Osaka Journal of Mathematics. 1982, 19(1), p. 189-201

On modules with lifting properties

Harada, Manabu

Osaka University and Osaka City University, Departments of Mathematics

英語

text

1982

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.

10.18910/4264

4264

On modules with lifting properties

Harada, Manabu

Osaka University and Osaka City University, Departments of Mathematics

英語

1982

Osaka Journal of Mathematics

19

1

189

201

https://hdl.handle.net/11094/4264

10.18910/4264

https://doi.org/10.18910/4264