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Modules with few types over some finite-dimensional algebras

Published online by Cambridge University Press:  12 March 2014

Mike Prest  and
Vera Puninskaya
Mike Prest
Affiliation:
University of Manchester, Department of Mathematics, Manchester, M13 9PL, United Kingdom, E-mail: mprest@ma.man.ac.uk
Vera Puninskaya
Affiliation:
Moscow State University, Department of Mathematics, Moscow, 119899, Russia, E-mail: punins@orc.ru
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Abstract

Using 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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 2 , June 2002 , pp. 841 - 858
Copyright
Copyright © Association for Symbolic Logic 2002

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