A ring theoretical proof in a factor category of indecomposable modules
ジャーナル
フリー
1976 年 28 巻 1 号 p. 160-167
詳細
- Published: 1976 Received: 1975/04/14 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル 訂正内容: Wrong : Dedicated to Professor Mutsuo Takahashi on his 60th birthday
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) G. Azumaya, Correction and supplements to my paper concerning Krull-Remak-Schmidt's theorem, Nagoya Math. J., 1 (1950), 117-124.
2) C. Ehresmann, Catégories et Structures, Dunod, Paris, 1965.
3) S. Elliger, Interdirekte Summen von Moduln, J. Algebra, 18 (1971), 271-303.
4) M. Harada and Y. Sai, On categories of indecomposable modules I, Osaka J. Math., 7 (1970), 323-344.
5) M. Harada, On categories of indecomposable modules II, Osaka J. Math., 8 (1971), 309-321.
6) M. Harada, Supplementary Remarks on categories of indecomposable modules, Osaka J. Math., 9 (1972), 49-55.
7) M. Harada, On the exchange property in direct sums of indecomposable modules, to appear in Osaka J. Math.
8) M. Harada, Note on categories of indecomposable modules, Publ. Dept. Math. Lyon, 9 (1972), 11-25.
9) M. Harada, Applications of factor categories of completely indecomposable modules, Publ. Dept. Math. Lyon, (1974), 19-104.
10) T. Ishii, On locally direct summands of modules, Osaka J. Math., 12 (1975), 473-482.
11) H. Kanbara, On the Krull-Remak-Schmidt-Azumaya's theorem, Osaka J. Math., 9 (1972), 409-413.
12) B. Mitchell, Theory of Categories, Academic Press, New York and London, 1965.
13) Y. Sai, On regular categories, Osaka J. Math., 7 (1970), 301-306.
Right : [1] G. Azumaya, Correction and supplements to my paper concerning Krull-Remak-Schmidt's theorem, Nagoya Math. J., 1 (1950), 117-124.
[2] C. Ehresmann, Catégories et Structures, Dunod, Paris, 1965.
[3] S. Elliger, Interdirekte Summen von Moduln, J. Algebra, 18 (1971), 271-303.
[4] M. Harada and Y. Sai, On categories of indecomposable modules I, Osaka J. Math., 7 (1970), 323-344.
[5] M. Harada, On categories of indecomposable modules II, Osaka J. Math., 8 (1971), 309-321.
[6] M. Harada, Supplementary Remarks on categories of indecomposable modules, Osaka J. Math., 9 (1972), 49-55.
[7] M. Harada, On the exchange property in direct sums of indecomposable modules, to appear in Osaka J. Math.
[8] M. Harada, Note on categories of indecomposable modules, Publ. Dept. Math. Lyon, 9 (1972), 11-25.
[9] M. Harada, Applications of factor categories of completely indecomposable modules, Publ. Dept. Math. Lyon, (1974), 19-104.
[10] T. Ishii, On locally direct summands of modules, Osaka J. Math., 12 (1975), 473-482.
[11] H. Kanbara, On the Krull-Remak-Schmidt-Azumaya's theorem, Osaka J. Math., 9 (1972), 409-413.
[12] B. Mitchell, Theory of Categories, Academic Press, New York and London, 1965.
[13] Y. Sai, On regular categories, Osaka J. Math., 7 (1970), 301-306.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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