On a generalization of a Prüfer-Kaplansky-Procházka theorem

Luigi Salce

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 4, page 643-645
  • ISSN: 0010-2628

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Salce, Luigi. "On a generalization of a Prüfer-Kaplansky-Procházka theorem." Commentationes Mathematicae Universitatis Carolinae 030.4 (1989): 643-645. <http://eudml.org/doc/17775>.

@article{Salce1989,
author = {Salce, Luigi},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {freeness of module; torsion free module},
language = {eng},
number = {4},
pages = {643-645},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On a generalization of a Prüfer-Kaplansky-Procházka theorem},
url = {http://eudml.org/doc/17775},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Salce, Luigi
TI - On a generalization of a Prüfer-Kaplansky-Procházka theorem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 4
SP - 643
EP - 645
LA - eng
KW - freeness of module; torsion free module
UR - http://eudml.org/doc/17775
ER -

References

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  1. Fuchs L., Infinite Abelian Groups, Vol. I and II, Academic Press, London, New York, 1971 and 1973. (1971) MR0255673
  2. Fuchs L., Salce L., Modules over Valuation Domains, Lecture Notes Pure Appl. Math. 97, Marcel Dekker, 1985. (1985) Zbl0578.13004MR0786121
  3. Kaplansky I., Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952), 327-340. (1952) Zbl0046.25701MR0046349
  4. Pontryagin L. S., The theory of topological commutative groups, Ann. Math. 35 (1934), 361-388. (1934) Zbl0009.15601MR1503168
  5. Procházka L., A generalization of a Prüfer-Kaplansky theorem, Lecture Notes Math. 1006, Springer Verlag (1983), 617-629. (1983) MR0722654
  6. Prüfer H., Theorie der abelschen Gruppen II. Ideale Gruppen, Math. Z. 22 (1925), 222-249. (1925) MR1544721

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