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On tor-torsion theories

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Abstract

Tor-torsion theory was de¯ned by Jan Trlifaj in 2000. In this paper we introduce the notion of Co envelopes, CoCovers and Tor-generators as dual of envelopes, covers and generators in cotorsion(Ext-torsion) theory and deduce that each R-module has a projective and a cotorsion coprecover.

참고문헌 (5)

  1. "Special precovers in Cotorsion theoreisProc", 2 (2002)
  2. "Torsion theories and local Cohomology over commutativeNoetherian rings", 2, pp.~2 (1979)
  3. "Local cohomology" (1998), Cammbridge UniversityPress
  4. "Relative Homological Algebra" (2000)
  5. "Covers, envelopes, and Cotorsion theoreis, Lecture Notes for the Work-shop,\Homological methods in modules theory" (2000)

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