Chains of free modules and construction of x -free modules

Radoslav Dimitrić

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 161-176
  • ISSN: 0041-8994

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Dimitrić, Radoslav. "Chains of free modules and construction of $x$-free modules." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 161-176. <http://eudml.org/doc/108058>.

@article{Dimitrić1987,
author = {Dimitrić, Radoslav},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {torsion-free modules; valuation domain; free submodule},
language = {eng},
pages = {161-176},
publisher = {Seminario Matematico of the University of Padua},
title = {Chains of free modules and construction of $x$-free modules},
url = {http://eudml.org/doc/108058},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Dimitrić, Radoslav
TI - Chains of free modules and construction of $x$-free modules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 161
EP - 176
LA - eng
KW - torsion-free modules; valuation domain; free submodule
UR - http://eudml.org/doc/108058
ER -

References

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  1. [1] R. Dimitri, On chains of free modules over valuation domains, to appear in Czechoslovak Math. J. (1987). Zbl0648.13006MR904767
  2. [2] R. Dimitri, On pure submodules of free modules and x-free modules. Abelian groups and modules (CISM, Udine, 1984), Courses and lectures, no. 287, Springer, Wien - New York (1984), pp. 373-381. Zbl0561.13008MR789833
  3. [3] R. Dimitri - L. Fuchs, On torsion-free modules over valuation domains, to appear in Publ. Math. Debrecen, 34 (1987). Zbl0622.16010MR901009
  4. [4] P. Eklof, Homological dimension and stationary sets, Math. Z., 180 (1982), pp. 1-9 (with corrections). Zbl0504.16019MR656218
  5. [5] P. Eklof, Set theoretic methods in homological algebra and abelian groups, Les Presses de l'Université de Montréal, 1980. Zbl0488.03029MR565449
  6. [6] L. Fuchs, On projective dimension of modules over valuation domains, Abelian group theory (Honolulu, 1983), Lecture Notes in Math., 1006 (1983), pp. 589-598. Zbl0515.13012MR722651
  7. [7] L. Fuchs - L. SALCE, Modules over valuation domains (Marcel Dekker Inc., New York and Basel, 1985). Zbl0578.13004MR786121
  8. [8] P. Hill, New criteria for freeness in abelian groups, II, Trans. Am. Math. Soc., 196 (1974), pp. 191-201. Zbl0296.20026MR352294

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