Injective objects of monomorphism categories

doi:10.1007/s11464-016-0524-0

Front. Math. China

2016, Vol. 11

Issue (2) : 401-409 https://doi.org/10.1007/s11464-016-0524-0

RESEARCH ARTICLE

Injective objects of monomorphism categories

Keyan SONG¹,Yuehui ZHANG^2,^*(

)

1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

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Abstract

For an acyclic quiver Q and a finite-dimensional algebra A, we give a unified form of the indecomposable injective objects in the monomorphism category Mon(Q,A) and prove that Mon(Q,A) has enough injective objects.

Keywords Monomorphism categories injective objects

Corresponding Author(s): Yuehui ZHANG

Issue Date: 18 April 2016

Cite this article:

Keyan SONG,Yuehui ZHANG. Injective objects of monomorphism categories[J]. Front. Math. China, 2016, 11(2): 401-409.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0524-0
https://academic.hep.com.cn/fmc/EN/Y2016/V11/I2/401

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