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Slice modules over minimal 2-fundamental algebras

Zygmunt Pogorzały; Karolina Szmyt — 2007

Open Mathematics

We consider a class of algebras whose Auslander-Reiten quivers have starting components that are not generalized standard. For these components we introduce a generalization of a slice and show that only in finitely many cases (up to isomorphism) a slice module is a tilting module.

Tilting slice modules over minimal 2-fundamental algebras

Zygmunt Pogorzały; Karolina Szmyt — 2008

Colloquium Mathematicae

A class of finite-dimensional algebras whose Auslander-Reiten quivers have starting but not generalized standard components is investigated. For these components the slices whose slice modules are tilting are considered. Moreover, the endomorphism algebras of tilting slice modules are characterized.

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