FIm-modules over Noetherian rings
FIm-modules over Noetherian rings
复制标题
Noetherian 环上的 FIm 模块
DOI：
10.1016/j.jpaa.2018.11.011
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发表时间：
2019
影响因子：
0.8
通讯作者：
Yu Nina
中科院分区：
文献类型：
--
作者：
Li Liping;Yu Nina
在本文中，我们研究了[6]、[7]中引入的类别FI m的表示理论，它是类别FI的副本的产物，并表明FI的许多有趣的表示理论和同调性质可以自然地推广到FI m。特别是，我们证明了有限生成的 FI m 模在特征 0 域上的表示稳定性。
In this paper we study representation theory of the category FI m introduced in [6],[7] which is a product of copies of the category FI, and show that quite a few interesting representation theoretic and homological properties of FI can be generalized to FI m in a natural way. In particular, we prove the representation stability property of finitely generated FI m-modules over fields of characteristic 0.