CATEGORIES OF DIMENSION ZERO

被引：2

作者：

Wiltshire-Gordon, John D. ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Van Vleck Hall,480 Lincoln Dr, Madison, WI 53706 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 01期

关键词：

Finite length category; representations of categories; homological modulus; REPRESENTATION-THEORY; FI-MODULES; STABILITY; HOMOLOGY;

D O I：

10.1090/proc/14040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If D is a category and k is a commutative ring, the functors from D to Modk can be thought of as representations of D. By definition, D is dimension zero over k if its finitely generated representations have finite length. We characterize categories of dimension zero in terms of the existence of a "homological modulus" (Definition 1.4) which is combinatorial and linear-algebraic in nature.

引用

页码：35 / 50

页数：16

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