Cograde Conditions and Cotorsion Pairs

  • Xi Tang

    Guilin University of Technology, Guilin, Guangxi, China
  • Zhaoyong Huang

    Nanjing University, China
Cograde Conditions and Cotorsion Pairs cover

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Abstract

Let and be rings and a semidualizing bimodule. We investigate when the double functor preserves epimorphisms and the double functor preserves monomorphisms in terms of the (strong) cograde conditions of modules. Under certain cograde condition of modules, we construct two complete cotorsion pairs. In addition, we establish the relation between some relative finitistic dimensions of rings and the right and left projective dimensions of .

Cite this article

Xi Tang, Zhaoyong Huang, Cograde Conditions and Cotorsion Pairs. Publ. Res. Inst. Math. Sci. 56 (2020), no. 3, pp. 445–502

DOI 10.4171/PRIMS/56-3-2