The minimal representation-infinite algebras which are special biserial
Claus Michael Ringel
TL;DR
This paper classifies minimal representation-infinite special biserial algebras over a field and explores their module categories, providing a comprehensive understanding of their structure and properties.
Contribution
It offers a complete classification of minimal representation-infinite special biserial algebras and analyzes their module categories, a novel contribution in algebra representation theory.
Findings
Classification of minimal representation-infinite special biserial algebras
Description of their module categories
Insights into their structural properties
Abstract
Let k be a field. A finite dimensional k-algebra is said to be minimal representation-infinite provided it is representation-infinite and all its proper factor algebras are representation-finite. Our aim is to classify the special biserial algebras which are minimal representation-infinite. The second part describes the corresponding module categories.
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