THE AUSLANDER-REITEN QUIVERS OF NONLOCAL BASS RINGS

被引：3
|
作者：
HAEFNER, J
机构：
[1] University of Colorado, Colorado Springs, CO
来源：
COMMUNICATIONS IN ALGEBRA | 1993年 / 21卷 / 02期
关键词：
D O I：
10.1080/00927879308824574
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we analyze the Auslander-Reiten quiver for the category of lattices over a commutative, non-local, Bass ring. Our applications include explicitly describing the quiver, proving path connectedness and Eulerian features of the quiver, associating the quiver to a Cayley diagram, proving a finite type result with the quiver and generalizing the concept of unique factorization domain to the notion of unique map factorization domain.1
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页码：483 / 509
页数：27
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