Balanced pairs, cotorsion triplets and quiver representations
Balanced pairs, cotorsion triplets and quiver representations
复制标题
平衡对、扭转三元组和箭袋表示
DOI：
10.1017/s0013091519000270
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发表时间：
2019-08
影响因子：
0.7
通讯作者：
Zhu Haiyan
中科院分区：
文献类型：
--
作者：
Estrada Sergio;Perez Marco A.;Zhu Haiyan
Abstract Balanced pairs appear naturally in the realm of relative homological algebra associated with the balance of right-derived functors of the Hom functor. Cotorsion triplets are a natural source of such pairs. In this paper, we study the connection between balanced pairs and cotorsion triplets by using recent quiver representation techniques. In doing so, we find a new characterization of abelian categories that have enough projectives and injectives in terms of the existence of complete hereditary cotorsion triplets. We also provide a short proof of the lack of balance for derived functors of Hom computed using flat resolutions, which extends the one given by Enochs in the commutative case.
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影响因子：
0.8
作者：
Sinem Odabaşı
通讯作者：
Sinem Odabaşı
DOI：
10.4310/hha.2010.v12.n1.a6
发表时间：
2009-10
期刊：
Homology, Homotopy and Applications
影响因子：
--
作者：
James Gillespie
通讯作者：
James Gillespie
影响因子：
0.6
作者：
Nanqing Ding;Jianlong Chen
通讯作者：
Nanqing Ding;Jianlong Chen
影响因子：
1.7
作者：
B. Mitchell
通讯作者：
B. Mitchell
影响因子：
0.8
作者：
Mark Hovey
通讯作者：
Mark Hovey