Mittag-Leffler modules and semi-hereditary rings

Ulrich Albrecht; Alberto Facchini

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 95, page 175-188
  • ISSN: 0041-8994

How to cite

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Albrecht, Ulrich, and Facchini, Alberto. "Mittag-Leffler modules and semi-hereditary rings." Rendiconti del Seminario Matematico della Università di Padova 95 (1996): 175-188. <http://eudml.org/doc/108389>.

@article{Albrecht1996,
author = {Albrecht, Ulrich, Facchini, Alberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finitely generated non-singular right modules; finitely generated submodules of free modules; right semi-hereditary rings; Prüfer domains; right Goldie dimension; pure-projective pure submodules; Mittag-Leffler Abelian groups; rsns semi-hereditary rings; Mittag-Leffler modules; RD domains},
language = {eng},
pages = {175-188},
publisher = {Seminario Matematico of the University of Padua},
title = {Mittag-Leffler modules and semi-hereditary rings},
url = {http://eudml.org/doc/108389},
volume = {95},
year = {1996},
}

TY - JOUR
AU - Albrecht, Ulrich
AU - Facchini, Alberto
TI - Mittag-Leffler modules and semi-hereditary rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 95
SP - 175
EP - 188
LA - eng
KW - finitely generated non-singular right modules; finitely generated submodules of free modules; right semi-hereditary rings; Prüfer domains; right Goldie dimension; pure-projective pure submodules; Mittag-Leffler Abelian groups; rsns semi-hereditary rings; Mittag-Leffler modules; RD domains
UR - http://eudml.org/doc/108389
ER -

References

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  1. [1] F. Albrecht, On projective modules over semi-hereditary rings, Proc. Amer. Math. Soc., 12 (1961), pp. 638-639. Zbl0118.04401MR126470
  2. [2] U. Albrecht, Locally A-projective abelian groups and generalizations, Pacific J. Math., 141 (1990), pp. 209-227. Zbl0736.20030MR1035441
  3. [3] F.W. Anderson - K.R. Fuller, Rings and Categories of Modules, Springer-Verlag (1992). Zbl0765.16001MR1245487
  4. [4] G. Azumaya - A. Facchini, Rings of pure global dimension zero and Mittag-Leffler modules, J. Pure Appl. Algebra, 62 (1989), pp. 109-122. Zbl0693.16017MR1027751
  5. [5] A. Chatters - C. Hajarnavis, Rings with Chain Conditions, Pitman Advanced Publishing Program, 44, Boston, London, Melbourne (1980). Zbl0446.16001MR590045
  6. [6] M. Dugas - R. GÖBEL, Every cotorsion-free ring is an endomorphism ring, Proc. London Math. Soc., 45 (1982), pp. 319-336. Zbl0506.16022MR670040
  7. [7] A. Facchini, Mittag-Leffler modules, reduced products, and direct products, Rend. Sem. Mat. Univ. Padova, 85 (1991), pp. 119-132. Zbl0755.16003MR1142536
  8. [8] L. Fuchs - L. SALCE, Modules Over Valuation Domains, Marcel Dekker, New York and Basel (1985). Zbl0578.13004MR786121
  9. [9] K.R. Goodearl, Ring Theory, Marcel Dekker, New York and Basel (1976). Zbl0336.16001MR429962
  10. [10] M. Raynaud - L. GRUSON, Critères de platitude et de projectivité, Invent. Math., 13 (1971), pp. 1-89. Zbl0227.14010MR308104
  11. [11] PH. Rothmaler, Mittag-Leffler Modules and Positive Atomicity, preprint (1994). Zbl0916.16004MR1600915
  12. [12] R.B. Warfield, Exchange Rings and Decompositions of Modules, Math. Ann., 199 (1972), pp. 31-36. Zbl0228.16012MR332893

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