On Gorenstein Flat Preenvelopes of Complexes
Gang Yang
Lanzhou Jiatong University, Lanzhou (Gansu), ChinaZhongkui Liu
Northwest Normal University, Lanzhou (Gansu), ChinaLi 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