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Irreducible Morphisms Between Modules over a Repetitive Algebras

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We describe the irreducible morphisms in the category of modules over a repetitive algebra. We find three special canonical forms: The first canonical form happens when all the component morphisms… Click to show full abstract

We describe the irreducible morphisms in the category of modules over a repetitive algebra. We find three special canonical forms: The first canonical form happens when all the component morphisms are split monomorphisms, the second when all the component morphisms are split epimorphisms and the third when there is exactly one irreducible component map. Also, we obtain the same result for the irreducible homomorphisms in the stable category of modules over a repetitive algebra.

Keywords: modules repetitive; irreducible morphisms; repetitive algebras; morphisms modules

Journal Title: Algebras and Representation Theory
Year Published: 2018

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