Open Access
2016 Strongly copure projective, injective and flat complexes
Xin Ma, Zhongkui Liu
Rocky Mountain J. Math. 46(6): 2017-2042 (2016). DOI: 10.1216/RMJ-2016-46-6-2017


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.


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Xin Ma. Zhongkui Liu. "Strongly copure projective, injective and flat complexes." Rocky Mountain J. Math. 46 (6) 2017 - 2042, 2016.


Published: 2016
First available in Project Euclid: 4 January 2017

zbMATH: 1378.16004
MathSciNet: MR3591270
Digital Object Identifier: 10.1216/RMJ-2016-46-6-2017

Primary: 16E05 , 16E10 , 16E30

Keywords: strongly copure flat complex , strongly copure injective complex , Strongly copure projective complex

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.46 • No. 6 • 2016
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