Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 2: 401 - 409

DOI: https://doi.org/10.1007/s11464-016-0524-0

RESEARCH ARTICLE

Injective objects of monomorphism categories

  • Keyan SONG 1 ,
  • Yuehui ZHANG , 2
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  • 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
  • 2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 17 Jul 2015

Accepted date: 26 Oct 2015

Published date: 18 Apr 2016

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Monomorphism categories; injective objects

Cite this article

Keyan SONG , Yuehui ZHANG . Injective objects of monomorphism categories[J]. Frontiers of Mathematics in China, 2016 , 11(2) : 401 -409 . DOI: 10.1007/s11464-016-0524-0

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