Resolutions and homological dimensions of DG-modules

19 Mar 2019 Minamoto Hiroyuki

Recently, Yekutieli introduced projective dimension and injective dimension of DG-modules by generalizing the characterization of projective dimension and injective dimension of ordinary modules by vanishing of Ext-group. In this paper, we introduce DG-version of projective resolution and injective resolution for DG-modules over a connective DG-algebra which are different from known DG-version of projective and injective resolutions... (read more)

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Categories


  • RINGS AND ALGEBRAS
  • COMMUTATIVE ALGEBRA
  • REPRESENTATION THEORY