On Gorenstein Flat Preenvelopes of Complexes

  • Gang Yang

    Lanzhou Jiatong University, Lanzhou (Gansu), China
  • Zhongkui Liu

    Northwest Normal University, Lanzhou (Gansu), China
  • Li Liang

    Lanzhou Jiatong University, Lanzhou (Gansu), China

Abstract

In this paper we show that if the class of -modules is closed under well ordered direct limits, then the class is preenveloping in the category of -modules if and only if the class is preenveloping in the category of -complexes, where denotes the class of all complexes with all components in . As an immediate consequence, we get that over commutative and Noetherian rings with dualizing complexes every complex admits a Gorenstein flat preenvelope.

Cite this article

Gang Yang, Zhongkui Liu, Li Liang, On Gorenstein Flat Preenvelopes of Complexes. Rend. Sem. Mat. Univ. Padova 129 (2013), pp. 171–187

DOI 10.4171/RSMUP/129-10