Right Utumi p.p.-rings

Ulrich Albrecht

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 124, page 25-42
  • ISSN: 0041-8994

How to cite

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Albrecht, Ulrich. "Right Utumi p.p.-rings." Rendiconti del Seminario Matematico della Università di Padova 124 (2010): 25-42. <http://eudml.org/doc/239715>.

@article{Albrecht2010,
author = {Albrecht, Ulrich},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Utumi rings; divisible modules; right annihilators; right Utumi p.p.-rings; modules over integral domains; semi-prime Goldie rings},
language = {eng},
pages = {25-42},
publisher = {Seminario Matematico of the University of Padua},
title = {Right Utumi p.p.-rings},
url = {http://eudml.org/doc/239715},
volume = {124},
year = {2010},
}

TY - JOUR
AU - Albrecht, Ulrich
TI - Right Utumi p.p.-rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 124
SP - 25
EP - 42
LA - eng
KW - Utumi rings; divisible modules; right annihilators; right Utumi p.p.-rings; modules over integral domains; semi-prime Goldie rings
UR - http://eudml.org/doc/239715
ER -

References

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  1. [1] U. Albrecht, Two-sided submodules of Q r , Houston Journal of Mathematics, 33 (1), pp. 103--123. Zbl1124.16022MR2287846
  2. [2] U. Albrecht, Finitely Presented Modules over Right Non-Singular Rings; Rend. Sem. Math. Padova, 120 (2008), pp. 45--58. Zbl1230.16005MR2492649
  3. [3] U. Albrecht - A. Facchini, Mittag-Leffler modules over non-singular rings; Rend. Sem. Mat. Univ. Padova, 95 (1996), pp. 175--188. Zbl0865.16004MR1405362
  4. [4] 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
  5. [5] U. Albrecht - J. Trilifaj, Cotilting classes of torsion-free modules J. Alg and Appl., 5 (6) (2006), pp. 747--764. Zbl1118.16021MR2286720
  6. [6] A. W. Chatters - C. R. Hajarnavis, Rings with Chain Conditions; Pitman Advanced Publishing 44; Boston, London, Melbourne (1980). Zbl0446.16001MR590045
  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] E. Matlis, Divisible modules; Proc. Amer. Math. Soc., 11 (1960), pp. 385--391. Zbl0095.02403MR116044
  11. [11] J. Rotman, An Introduction to Homological Algebra; Academic Press, London (1979). Zbl0165.33401MR538169
  12. [12] B. Stenström, Rings of Quotients; Lecture Notes in Math., 217; Springer Verlag, Berlin, Heidelberg, New York (1975). Zbl0296.16001MR389953

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