Torsion classes, wide subcategories and localisations

By F. Marks, J. Št’ovíček. 2015

102 citations recorded by the source corpus.

For a finite‐dimensional algebra A , we establish correspondences between torsion classes and wide subcategories in mod(A) . In case A is representation finite, we obtain an explicit bijection between these two classes of subcategories. Moreover, we translate our results to the language of ring epimorphisms and universal localisations. It turns out that universal localisations over representation finite algebras are classified by torsion classes and support τ ‐tilting modules.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cadbd3e184e3d1bcefc5f66e7db2b72a448fa382

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In Geometry and Topology

1. Sotaro Asai
2. C. Pfeifer

In Mathematical Physics

1. Sotaro Asai
2. C. Pfeifer

Citations in the corpus

• Semibricks (2016, background): “Consequently, we recover Marks–Št’ov́ıček bijection between fL-wideA and f-torsA [23].”