Remarque sur les sommes directes des modules de type dénombrable

Petr Nemec

Publications du Département de mathématiques (Lyon) (1978)

  • Volume: 15, Issue: 4, page 37-48
  • ISSN: 0076-1656

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Nemec, Petr. "Remarque sur les sommes directes des modules de type dénombrable." Publications du Département de mathématiques (Lyon) 15.4 (1978): 37-48. <http://eudml.org/doc/273358>.

@article{Nemec1978,
author = {Nemec, Petr},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {direct sums of modules; reduced modules; countably generated modules},
language = {fre},
number = {4},
pages = {37-48},
publisher = {Université Claude Bernard - Lyon 1},
title = {Remarque sur les sommes directes des modules de type dénombrable},
url = {http://eudml.org/doc/273358},
volume = {15},
year = {1978},
}

TY - JOUR
AU - Nemec, Petr
TI - Remarque sur les sommes directes des modules de type dénombrable
JO - Publications du Département de mathématiques (Lyon)
PY - 1978
PB - Université Claude Bernard - Lyon 1
VL - 15
IS - 4
SP - 37
EP - 48
LA - fre
KW - direct sums of modules; reduced modules; countably generated modules
UR - http://eudml.org/doc/273358
ER -

References

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  1. [1] J.S. Alin, Primary decomposition of modulesMath. Z.107 (1968), 319-325. Zbl0165.35302MR238898
  2. [2] L. Bican, Kulikov's criterion for modules, J. Reine Angew Math., 288 (1976), p. 154-159. Zbl0333.16021MR422320
  3. [3] L. Bican, The structure of primary modules, Acad.Univ. Carolinae Math. Phys.17,2 (1976), p. 3-12 Zbl0395.16027MR435119
  4. [4] N. Bourbaki, Algèbre commutative, Hermann, Paris. 
  5. [5] S.E. Dickson, Decomposition of modules I, classical rings, Math. Z.90 (1965), p. 9-13. Zbl0154.28404MR184974
  6. [6] S.E. Dickson, Decomposition of modules II, Rings without chain conditions, Math. Z.104 (1968), p. 349-357. Zbl0164.34703MR229678
  7. [7] L. Fuchs, Infinite abelian groups I, Academic Press, New York and London1970. Zbl0257.20035MR255673
  8. [8] L. FuchsInfinite abelian groups II, Academic Press, New York and London1973. Zbl0257.20035MR349869
  9. [9] P. Nemec, Les modules primaires, Thèse, Praha1977 (en tchèque). 
  10. [10] P. Nemec, Ulm's theorem for modules (à paraître). 
  11. [11] P. Nemec, Prüfer modules, (à paraître). 
  12. [12] R. J. Nunke, Homology and direct sums of countable abelian groups, Math.Z.101 (1967), 182-212. Zbl0173.02401MR218452
  13. [13] T.S. Shores, Decompositions of finitely generated modules, Proc. Amer. Math. Soc.30 (1972), p. 445-450. Zbl0203.05002MR281708
  14. [14] T.S. Shores, The structure of Loewy modules, J. Reine Angew. Math.254 (1972) p. 204-220. Zbl0235.16024MR318231
  15. [15] R.B. Warfield JR., Classification theorems for p-groups and modules over a discrete valuation ring, Bull. Amer. Math. Soc.78 (1972), 88-92. Zbl0231.13004MR291284

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