On the notions of characteristics and type for modules and their applications

Radoslav M. Dimitrić

Acta Mathematica et Informatica Universitatis Ostraviensis (1993)

  • Volume: 01, Issue: 1, page 13-25
  • ISSN: 1804-1388

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Dimitrić, Radoslav M.. "On the notions of characteristics and type for modules and their applications." Acta Mathematica et Informatica Universitatis Ostraviensis 01.1 (1993): 13-25. <http://eudml.org/doc/23749>.

@article{Dimitrić1993,
author = {Dimitrić, Radoslav M.},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {characteristics; type; valuation rings},
language = {eng},
number = {1},
pages = {13-25},
publisher = {University of Ostrava},
title = {On the notions of characteristics and type for modules and their applications},
url = {http://eudml.org/doc/23749},
volume = {01},
year = {1993},
}

TY - JOUR
AU - Dimitrić, Radoslav M.
TI - On the notions of characteristics and type for modules and their applications
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1993
PB - University of Ostrava
VL - 01
IS - 1
SP - 13
EP - 25
LA - eng
KW - characteristics; type; valuation rings
UR - http://eudml.org/doc/23749
ER -

References

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  2. Clifford A. H., 10.2307/2372706, Amer. J. Math 76 (1954), 631-646 (1954) MR0062118DOI10.2307/2372706
  3. Dimitrić R., On chains of free modules over valuation domains, Czechoslovak Math. J. 37 (112) (1987), 400-406. (1987) MR0904767
  4. Dimitrić R., 10.1007/BF01198625, Arch. Math. 51 (1988), 419-424. (1988) MR0970355DOI10.1007/BF01198625
  5. Dimitrić R., Balanced projective dimension of modules over valuation domains, Preprint, 1991. (1991) MR1828549
  6. Dimitrić R., Dualities between H o m R and ⊗ R and their applications, Kobe J. Math. 9 (1992) . (1992) MR1189956
  7. Dimitrić R., Fuchs L., On torsion-free modules over valuation domains, Publ. Math. Debrecen 34 (1987), 91-97. (1987) MR0901009
  8. Fuchs L., Salce L., Modules Over Valuation Domains, Lectuгe Notes in Puгe and Applied Mathematics, 97, Marcel Dekkeг, Inc, New York and Basel, 1985. (1985) Zbl0578.13004MR0786121
  9. Rees D., On semi-groups, Proc Cambridge Phil. Soc 36 (1940), 387-400. (1940) Zbl0028.00401MR0002893
  10. Shores T. S., On generalized valuation rings, Mich. Math. J. 21 (1974), 405-409. (1974) MR0366892
  11. Shores T. S., Lewis W. J., 10.1215/S0012-7094-74-04188-X, Duke Math. J. 41 (1974), 889-909. (1974) Zbl0294.13007MR0352079DOI10.1215/S0012-7094-74-04188-X

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