Finitely Presented Modules over Right Non-Singular Rings

Ulrich Albrecht

Rendiconti del Seminario Matematico della Università di Padova (2008)

  • Volume: 120, page 45-58
  • ISSN: 0041-8994

How to cite

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Albrecht, Ulrich. "Finitely Presented Modules over Right Non-Singular Rings." Rendiconti del Seminario Matematico della Università di Padova 120 (2008): 45-58. <http://eudml.org/doc/108746>.

@article{Albrecht2008,
author = {Albrecht, Ulrich},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {non-singular modules; right non-singular rings; maximal rings of quotients; pure-projective modules; Goldie dimension; direct summands; direct sums of finitely generated submodules; right hereditary rings},
language = {eng},
pages = {45-58},
publisher = {Seminario Matematico of the University of Padua},
title = {Finitely Presented Modules over Right Non-Singular Rings},
url = {http://eudml.org/doc/108746},
volume = {120},
year = {2008},
}

TY - JOUR
AU - Albrecht, Ulrich
TI - Finitely Presented Modules over Right Non-Singular Rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2008
PB - Seminario Matematico of the University of Padua
VL - 120
SP - 45
EP - 58
LA - eng
KW - non-singular modules; right non-singular rings; maximal rings of quotients; pure-projective modules; Goldie dimension; direct summands; direct sums of finitely generated submodules; right hereditary rings
UR - http://eudml.org/doc/108746
ER -

References

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  1. [1] F. ALBRECHT, On projective modules over a semi-hereditary ring, Proc. Amer. Math. Soc., 12 (1961), pp. 638-639. Zbl0118.04401MR126470
  2. [2] U. ALBRECHT - A. FACCHINI, Mittag-Leffler modules over non-singular rings, Rend. Sem. Mat. Univ. Padova, 95 (1996), pp. 175-188. Zbl0865.16004MR1405362
  3. [3] U. ALBRECHT - J. DAUNS - L. FUCHS, Torsion-freeness and non-singularity over right p.p.-rings; Journal of Algebra, 285 (2005), pp. 98-119. Zbl1088.16017MR2119106
  4. [4] F. ANDERSON - K. FULLER, Rings and Categories of Modules, Graduate Texts in Mathematics 13; Springer Verlag (1992). Zbl0765.16001MR1245487
  5. [5] A.W. CHATTERS - C.R. HAJARNAVIS, Rings with Chain Conditions, Pitman Advanced Publishing 44; Boston, London, Melbourne (1980). Zbl0446.16001MR590045
  6. [6] J. DAUNS - L. FUCHS, Torsion-freeness in rings with zero divisors, to appear. Zbl1107.16003
  7. [7] L. FUCHS - L. SALCE, Modules over Non-Noetherian Domains, Mathematical Surveys and Monographs 84, Amer. Math. Soc. (2000). Zbl0973.13001MR1794715
  8. [8] K. GOODEARL, Ring Theory, Marcel Dekker, New York, Basel (1976). Zbl0336.16001MR429962
  9. [9] A. HATTORI, A foundation of torsion theory for modules over general rings, Nagoya Math. J., 17 (1960), pp. 147-158. Zbl0117.02202MR137745
  10. [10] J. ROTMAN, An Introduction to Homological Algebra; Academic Press, London (1979). Zbl0441.18018MR538169
  11. [11] B. STENSTRÖM, Rings of Quotients, Lecture Notes in Math. 217, Springer Verlag, Berlin, Heidelberg, New York (1975). Zbl0296.16001MR389953

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