Raphael Bennett-Tennenhaus
(Aarhus University)

Mathematics Seminar

String algebras are classically of path algebras over fields. Path algebras have also been considered over any noetherian local ground ring. Raggi-Cardenas and Salmeron generalised the definition of an admissible ideal in this context. A generalisation of string algebras from my PhD thesis likewise replaced the ground field with a local ring. In this talk I will explain how this definition relates to admissibility, and yields biserial rings in a sense used by Kirichenko and Yaremenko. I will also provide examples coming from metastable homotopy theory following work of Baues and Drozd. Time permitted, I will present an example of a clannish algebra over a local ring that is related to modular representations of the Matheiu 11-group, following Roggenkamp. This is based on an arxiv preprint 2305.12885.

Organised by: AarHomAlg