Modules with few types over some finite-dimensional algebras

被引：2

作者：

Prest, M ^{[1
]}

Puninskaya, V

机构：

[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

[2] Moscow MV Lomonosov State Univ, Dept Math, Moscow 119899, Russia

来源：

JOURNAL OF SYMBOLIC LOGIC | 2002年 / 67卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.2178/jsl/1190150112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the description of the Ziegler spectrum we characterise modules with carious stability-theoretic properties (omega-stability, superstability, categoricity) over certain classes of finite-dimensional algebras. We also show that, for modules over the algebras we consider, having few types is equivalent to being omega-stable.

引用

页码：841 / 858

页数：18

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