Relative extriangulated categories arising from half exact functors
Relative extriangulated categories arising from half exact functors
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DOI：
10.1016/j.jalgebra.2022.10.008
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发表时间：
2021-11
影响因子：
0.9
通讯作者：
Arashi Sakai
中科院分区：
文献类型：
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作者：
Arashi Sakai
相对理论（=闭子函子）分别被德拉克斯勒-赖滕-斯马尔滕-索尔伯格-凯勒、Bkillannis和Herschend-Liu-Nakaoka在精确、三角化和外三角化范畴中考虑。给出了由包含已有构造的半正合函子构造闭子函子的方法。此外，如果一个外三角范畴有足够多的投射对象，那么它的每个闭子函子都可以通过这种构造得到。
Relative theories(=closed subfunctors) are considered in exact, triangulated and extriangulated categories by Dräxler-Reiten-Smalø-Solberg-Keller, Beligiannis and Herschend-Liu-Nakaoka, respectively. We give a construction method of closed subfunctors from given half exact functors which contains existing constructions. Moreover, if an extriangulated category has enough projective objects, then every closed subfunctor is obtained by this construction.