On mild contours in ray categories
Klaus Bongartz
TL;DR
This paper refines the understanding of mild contours in ray categories, proving they do not appear in minimal representation-infinite algebras, thereby advancing the theoretical framework of algebra representations.
Contribution
It generalizes and refines previous theorems on contours, specifically showing their absence in minimal representation-infinite algebras.
Findings
Contours do not occur in minimal representation-infinite algebras
Refined structure and disjointness theorems for non-deep contours
Enhanced theoretical understanding of ray categories
Abstract
We generalize and refine the strure and disjointness theorems for non-deep contours obtained in the fundamental article 'Multiplicative bases and representation-finite algebras'. In particular we show that these contours do not occur in minimal representation-infinite algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Rings, Modules, and Algebras