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$\Pi$-coherent dimensions and $\Pi$-coherent rings

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Abstract

R is called a right Pi-coherent ring in case every finitelygenerated torsionless right R-module is finitely presented. Inthis paper, we define a dimension for rings, calledPi-coherent dimension, which measures how far away a ring isfrom being Pi-coherent. This dimension has nice properties whenthe ring in question is coherent. In addition, we study someproperties of Pi-coherent rings in terms of preenvelopes andprecovers.

참고문헌 (15)

  1. "All modules haveflat covers", 33, pp.385~390 (2001)
  2. "emph{ On the Structure of Skew Group Rings}" (1984)
  3. "emph{Coherence for polynomial rings}", pp.72~132 (1990)
  4. "Pi-coherentrings and FGT-injective dimension", 19(3), pp.105~112 (1995)
  5. "On envelopes with the unique mappingproperty", 24(4), pp.1459~1470 (1996)
  6. "How tomake Ext vanish", 33(1), pp.41~51 (2001)
  7. "emph{A note on absolutely pure modules}", pp.361~ (1976)
  8. "Relative HomologicalAlgebra" (2000), Walter de Gruyter, Berlin-New York
  9. "Lectures on Modules and Rings" (1999), Springer-Verlag, New York-Heidelberg-Berlin
  10. "FP-projective dimensions", 33(4), pp.1153~1170 (2005)
  11. "Absolutely pure modules" (2005)
  12. "emph{An Introduction to Homological Algebra}" (1979), AcademicPress
  13. "Covers, Envelopes, and Cotorsion Theories" (2000)
  14. "emph{Some studies on Pi-coherent rings}", pp.71~ (1993)
  15. "Flat Covers of Modules", pp.16~34 (1996), Springer-Verlag:Berlin-Heidelberg-New York

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