Remarks on Reflexive Subcategories
Remarks on Reflexive Subcategories
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关于自反子类别的备注
DOI：
10.1080/00927872.2015.1065868
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发表时间：
2016
影响因子：
0.7
通讯作者：
Masaru
中科院分区：
文献类型：
--
作者：
Araya;Tokuji and Kageyama;Masaru
本文研究了Cohen-Macaulay局部环R上的生成模范畴的自反子范畴。其中一个主要结果给出了当R是有限Cohen-Macaulay表示型的一维完备局部超曲面时自反子范畴的完全分类.另一个结果给出了完备局部超曲面上稳定范畴的子类与自反范畴的子类之间的一一对应。然后，我们尝试将Takahashi [8，命题4.4]中的结果推广到自反子范畴。
In this article, we study reflexive subcategories of the category of finitely generated modules over Cohen–Macaulay local ringsR. One of the main results yields a complete classification of the reflexive subcategories for the case whenRis a one-dimensional complete local hypersurface of finite Cohen–Macaulay representation type. The other result yields a one-to-one correspondence between the subclasses of a stable category and the reflexive subcategories over a complete local hypersurface. Then, we attempt to extend the result in Takahashi [8, Proposition 4.4] to a reflexive subcategory.