FIm-modules over Noetherian rings

被引：6
|
作者：
Li, Liping [1 ]
Yu, Nina [2 ]
机构：
[1] Hunan Normal Univ, Coll Math & Stat, Minist Educ, HPCSIP, Changsha 410081, Hunan, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2019年 / 223卷 / 08期
基金：
中国国家自然科学基金;
关键词：
REPRESENTATION STABILITY; HOMOLOGICAL INVARIANTS; CATEGORIES; FUNCTOR;
D O I：
10.1016/j.jpaa.2018.11.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study representation theory of the category FIm 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 FIm in a natural way. In particular, we prove the representation stability property of finitely generated FIm -modules over fields of characteristic 0. (C) 2018 Elsevier B.V. All rights reserved.
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页码：3436 / 3460
页数：25
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