Abstract
Let Λ be a finite dimensional algebra over some algebraically closed field k. In this note I discuss the relationship between finite and infinite dimensional modules over Λ. This discussion is based on the following three fundamental concepts:
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fp-idempotent ideals in the category mod Λ of finite dimensional Λ-modules
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endofinite modules in the category Mod Λ of all Λ-modules
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coherent functors Mod Γ→ Mod Λ between two module categories
This article is dedicated to Professor Herbert Kupisch on the occasion of his 70th birthday.
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Krause, H. (2000). Finite Versus Infinite Dimensional Representations — A New Definition of Tameness. In: Krause, H., Ringel, C.M. (eds) Infinite Length Modules. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8426-6_20
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DOI: https://doi.org/10.1007/978-3-0348-8426-6_20
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