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Open AccessArticle10.4064/cm-76-1-105-115

The Ziegler spectrum of a tame hereditary algebra

Claus Michael Ringel-1998-01-01-Colloquium Mathematicum
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1. Introduction. Let k be a field, and A be a connected finite-dimensional hereditary k-algebra of tame representation type. For a description of finite-dimensional hereditary k-algebras we refer to [DR2]. Let Mod A denote the category of all A-modules and mod A the full subcategory of A-modules of finite length. The global structure of the category of all Amodules is well-known (see [DR1] and [R1]).

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1. Introduction. Let k be a field, and A be a connected finite-dimensional hereditary k-algebra of tame representation type. For a description of finite-dimensional hereditary k-algebras we refer to [DR2]. Let Mod A denote the category of all A-modules and mod A the full subcategory of A-modules of finite length. The global structure of the category of all Amodules is well-known (see [DR1] and [R1]).

Keywords

MathematicsSpectrum (functional analysis)Algebra over a fieldPure mathematicsPhysics

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