n-exangulated categories (II): Constructions from n-cluster tilting subcategories
n-exangulated categories (II): Constructions from n-cluster tilting subcategories
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DOI：
10.1016/j.jalgebra.2021.11.042
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发表时间：
2021-12
影响因子：
0.9
通讯作者：
Martin Herschend;Y. Liu;H. Nakaoka
中科院分区：
文献类型：
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作者：
Martin Herschend;Y. Liu;H. Nakaoka
在n-Exangulated范畴（Ⅰ）中，我们对每个正整数n引入了n-Exangulated范畴的概念。它不仅是Nakaoka-Palu定义的外三角范畴的高维类似物，而且给出了Jasso意义下的n-正合范畴和Geiss-Keller-Oppermann意义下的（n+ 2）-角范畴的共同推广。在这第二篇文章中，我们引入了n-集群倾斜子范畴的概念，extriangulated范畴有足够的投射和内射，并表明，在一定的条件下，这样的n-集群倾斜子范畴是n-exangulated。
Abstract In n-Exangulated Categories (I), we introduced the notion of n-exangulated categories for each positive integer n. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but also gives a common generalization of n-exact categories in the sense of Jasso and (n+ 2)-angulated categories in the sense of Geiss-Keller-Oppermann. In this second article we introduce the notion of n-cluster tilting subcategories for extriangulated categories with enough projectives and injectives and show that under certain conditions such n-cluster tilting subcategories are n-exangulated.