Mittag-Leffler modules, reduced products, and direct products

Alberto Facchini

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 85, page 119-132
  • ISSN: 0041-8994

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Facchini, Alberto. "Mittag-Leffler modules, reduced products, and direct products." Rendiconti del Seminario Matematico della Università di Padova 85 (1991): 119-132. <http://eudml.org/doc/108211>.

@article{Facchini1991,
author = {Facchini, Alberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Mittag-Leffler module; pure projective modules; direct product; von Neumann regular rings},
language = {eng},
pages = {119-132},
publisher = {Seminario Matematico of the University of Padua},
title = {Mittag-Leffler modules, reduced products, and direct products},
url = {http://eudml.org/doc/108211},
volume = {85},
year = {1991},
}

TY - JOUR
AU - Facchini, Alberto
TI - Mittag-Leffler modules, reduced products, and direct products
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 85
SP - 119
EP - 132
LA - eng
KW - Mittag-Leffler module; pure projective modules; direct product; von Neumann regular rings
UR - http://eudml.org/doc/108211
ER -

References

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  2. [2] S.U. Chase, Direct product of modules, Trans. Amer. Math. Soc., 97 (1960), pp. 457-473. Zbl0100.26602MR120260
  3. [3] M. Dugas, On reduced products of abelian groups, Rend. Sem. Mat. Univ. Padova, 73 (1985), pp. 41-47. Zbl0568.20055MR799895
  4. [4] L. Fuchs, Infinite Abelian Groups, Volume I, Academic Press, New York and London, 1970. Zbl0209.05503MR255673
  5. [5] L. Fuchs - L. Salce, Modules over Valuation Domains, Marcel Dekker, New York and Basel, 1985. Zbl0578.13004MR786121
  6. [6] G.S. Garfinkel, Universally torsionless and trace modules, Trans. Amer. Math. Soc., 215 (1976), pp. 119-144. Zbl0319.16020MR404334
  7. [7] K.R. Goodearl, Distributing tensor product over direct product, Pacific J. Math., 43 (1972), pp. 107-110. Zbl0237.13007MR311714
  8. [8] C.U. Jensen - B. Zimmermann-Huisgen, Algebraic compactness of uLtra-powers and representation type, Pacific J. Math., 139 (1989), 251-265. Zbl0639.16007MR1011212
  9. [9] M. Raynaud - L. Gruson, Critères de platitude et de projectivité, Inventiones Math., 13 (1971), pp. 1-89. Zbl0227.14010MR308104
  10. [10] T.S. Shores, On generalized valuation rings, Michigan Math. J., 21 (1975), pp. 405-409. Zbl0305.13010MR366892
  11. [11] D. Simson, On pure global dimension of locally finitely presented Grothendieck categories, Fundamenta Math., 96 (1977), pp. 91-116. Zbl0361.18010MR480690
  12. [12] Bo Stenström, Rings of Quotients, Springer-Verlag, Berlin-Heidelberg-New York, 1975. Zbl0296.16001MR389953
  13. [13] R.B. Warfield, Purity and algebraic compactness for modules, Pacific J. Math., 28 (1969), pp. 699-719. Zbl0172.04801MR242885
  14. [14] J.M. Zelmanowitz, Regular moduLes, Trans. Amer. Math. Soc., 163 (1972), pp. 341-355. Zbl0227.16022MR286843
  15. [15] B. Zimmermann-Huisgen, Pure submodules of direct products offree modules, Math. Ann., 224 (1976), pp. 233-245. Zbl0321.16015MR424877

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