Constructing cotorsion pairs over generalized path algebras

doi:10.1007/s11464-016-0563-6

Front. Math. China

2016, Vol. 11

Issue (4) : 1079-1096 https://doi.org/10.1007/s11464-016-0563-6

RESEARCH ARTICLE

Constructing cotorsion pairs over generalized path algebras

Haiyan ZHU(

)

College of Science, Zhejiang University of Technology, Hangzhou 310023, China

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Abstract

We introduce two adjoint pairs $(e λ i, () i)$ and $(() i, e ρ i)$ and give a new method to construct cotorsion pairs. As applications, we characterize all projective and injective representations of a generalized path algebra and exhibit projective and injective objects of the category $M p$ which is a generalization of monomorphisms category.

Keywords Cotorsion pair representation generalized path algebra

Corresponding Author(s): Haiyan ZHU

Online First Date: 30 August 2016 Issue Date: 20 April 2017

Cite this article:

Haiyan ZHU. Constructing cotorsion pairs over generalized path algebras[J]. Front. Math. China, 2016, 11(4): 1079-1096.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0563-6
https://academic.hep.com.cn/fmc/EN/Y2016/V11/I4/1079

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