Rocky Mountain Journal of Mathematics

Strongly copure projective, injective and flat complexes

Xin Ma and Zhongkui Liu

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In this paper, we extend the notions of strongly copure projective, injective and flat modules to that of complexes and characterize these complexes. We show that the strongly copure projective precover of any finitely presented complex exists over $n$-FC rings, and a strongly copure injective envelope exists over left Noetherian rings. We prove that strongly copure flat covers exist over arbitrary rings and that $(\mathcal {SCF},\mathcal {SCF}^\bot )$ is a perfect hereditary cotorsion theory where $\mathcal {SCF}$ is the class of strongly copure flat complexes.

Article information

Rocky Mountain J. Math., Volume 46, Number 6 (2016), 2017-2042.

First available in Project Euclid: 4 January 2017

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Zentralblatt MATH identifier

Primary: 16E05: Syzygies, resolutions, complexes 16E10: Homological dimension 16E30: Homological functors on modules (Tor, Ext, etc.)

Strongly copure projective complex strongly copure injective complex strongly copure flat complex


Ma, Xin; Liu, Zhongkui. Strongly copure projective, injective and flat complexes. Rocky Mountain J. Math. 46 (2016), no. 6, 2017--2042. doi:10.1216/RMJ-2016-46-6-2017.

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