Torsion classes, wide subcategories and localisations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369445" target="_blank" >RIV/00216208:11320/17:10369445 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1112/blms.12033" target="_blank" >http://dx.doi.org/10.1112/blms.12033</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1112/blms.12033" target="_blank" >10.1112/blms.12033</a>

Result language

angličtina

Original language name

Torsion classes, wide subcategories and localisations

Original language description

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 tau-tilting modules.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA14-15479S" target="_blank" >GA14-15479S: Representation Theory (Structural Decompositions and Their Constraints)</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Bulletin of the London Mathematical Society

ISSN

0024-6093

e-ISSN

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Volume of the periodical

49

Issue of the periodical within the volume

3

Country of publishing house

GB - UNITED KINGDOM

Number of pages

12

Pages from-to

405-416

UT code for WoS article

000402144800004

EID of the result in the Scopus database

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