Note on Categories of Indecomposable Modules

Manabu Harada

Publications du Département de mathématiques (Lyon) (1972)

  • Volume: 9, Issue: 4, page 11-25
  • ISSN: 0076-1656

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Harada, Manabu. "Note on Categories of Indecomposable Modules." Publications du Département de mathématiques (Lyon) 9.4 (1972): 11-25. <http://eudml.org/doc/273556>.

@article{Harada1972,
author = {Harada, Manabu},
journal = {Publications du Département de mathématiques (Lyon)},
language = {eng},
number = {4},
pages = {11-25},
publisher = {Université Claude Bernard - Lyon 1},
title = {Note on Categories of Indecomposable Modules},
url = {http://eudml.org/doc/273556},
volume = {9},
year = {1972},
}

TY - JOUR
AU - Harada, Manabu
TI - Note on Categories of Indecomposable Modules
JO - Publications du Département de mathématiques (Lyon)
PY - 1972
PB - Université Claude Bernard - Lyon 1
VL - 9
IS - 4
SP - 11
EP - 25
LA - eng
UR - http://eudml.org/doc/273556
ER -

References

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  1. [1] G. Azumaya, Correction and supplementaries to my paper concerning Krull-Remak-Schmidt's theorem, Nagoya Math. J.1 (1950), p. 117-124. Zbl0040.01201MR37832
  2. [2] P. Crawly and B. Jonnson, Refinements for infinite direct decomposition of algebraic systems, Pacific J. Math.14 (1964), p. 797-855. Zbl0134.25504MR169806
  3. [3] C. Faith, Rings with ascending condition on annihilators, Nagoya Math. J.27 (1966), 179-191. Zbl0154.03001MR193107
  4. [4] L. Fuchs, On quasi-injective modules, Annali della Scuola Norm. Sup. Pisa, 23 (1969), p. 541-546. Zbl0191.03803MR258873
  5. [5] M. Harada, QF-3 and semi-primary PP-rings II, Osaka J. Math.3 (1966) p. 21-27. Zbl0158.28803MR206049
  6. [6] M. Harada and Y. Sai, On categories of indecomposable modules I, Osaka J. Math.7 (1970), p. 323-344. Zbl0248.18018MR286859
  7. [7] M. Harada, On categories of indecomposable modules II, Osaka J. Math.. 8 (1971) p. 309-321. Zbl0248.18019MR304431
  8. [8] M. Harada, Supplementary remarks on categories of indecomposable modules, Osaka J. Math.. 9 (1972), p. 49-55. Zbl0262.16031MR304432
  9. [9] U.S. Kahlon, Problem of Krull-Schmidt-Remak -Azumaya-Matlis, J. Indian Math. Soc.35 (1971), p. 255-261. Zbl0267.16013MR306262
  10. [10] H. Kanbara, Note on Krull-Remak-Schmidt-Azumaya's theorem, Osaka J. Math.9 (1972). Zbl0251.16019MR318230
  11. [11] I. Kaplansky, Projective modules, Ann of Math.68 (1958), p. 372-377. Zbl0083.25802MR100017
  12. [12] E. Mares, Semi-perfect modules, Math. Z.83 (1963), p. 347-360. Zbl0131.27401MR157985
  13. [13] E. Matlis, Injective modules over noetherian rings, Pacific J. Math.8 (1958), p. 511-528. Zbl0084.26601MR99360
  14. [14] R.B. Warfield Jr, A Krull-Schmidt theorem for infinite sums of modules, Proc. Amer. Math. Soc.22 (1969), p. 460-465. Zbl0176.31401MR242886
  15. [15] R.B. Warfield Jr, Decomposition of injective modules, Pacific J. Math.31 (1969), p. 263-276. Zbl0185.04102MR249467
  16. [16] K. Yamagata, Non-singular rings and Matlis' problem, Sci. Rep. TokyoKyoiku Daigaku11 (1972), p. 186-192. Zbl0265.16015MR314905

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