대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제20권2호
  • /
  • Pages.209-219
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  • 2005
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON TOR-TORSION THEORIES

  • GOLRIZ M. (Science and Research Branch Islamic Azad University) ;
  • BIJANZADEH M. H. (Faculty of Mathematical Sciences and Computer Engineering Teacher Training University)
  • 발행 : 2005.04.01
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초록

Tor-torsion theory was defined 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.

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참고문헌

  1. K. D. Akinci and R. Alizadeh, Special precovers in Cotorsion theoreis Proc. Edinb. Math. Soc.(2) 2002
  2. M. H. Bijan-Zadeh, Torsion theories and local Cohomology over commutative Noetherian rings, J. London Math. Soc.(2) 19 (1979), no. 2
  3. M. P. Brodman and R. Y. Sharp, Local cohomology, Cammbridge University Press, 1998
  4. E. E. Enochs and O. M. G. Jenda, Relative Homological Algebra, Walter de Gruyter, 2000
  5. J. Trlifaj, Covers, envelopes, and Cotorsion theoreis, Lecture Notes for theWorkshop, 'Homological methods in modules theory', Cortona, 2000
  6. J. Rotman, Notes on Homological Algebras, Reinhold, 1970
  7. J. Xu, Flat covers of modules, Lecture Notes of Mathematics 1996, no. 1634