Modules with few types over some finite-dimensional algebras

Author:

Prest Mike,Puninskaya Vera

Abstract

AbstractUsing the description of the Ziegler spectrum we characterise modules with various stability-theoretic properties (ω-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 ω-stable.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. PURITY RELATIVE TO CLASSES OF FINITELY PRESENTED MODULES;Journal of Algebra and Its Applications;2013-07-31

2. Vaught's Conjecture and Group Rings;Communications in Algebra;2005-10

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