Large tilting modules and representation type
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10050434" target="_blank" >RIV/00216208:11320/10:10050434 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Large tilting modules and representation type
Original language description
We study finiteness conditions on large tilting modules over arbitrary rings. We then turn to a hereditary artin algebra R and apply our results to the tilting module L that generates all modules without preprojective direct summands. We show that the behavior of L over its endomorphism ring determines the representation type of R. A similar result holds true for the tilting module W that generates all divisible modules. Finally, we extend to the wild case the results on Baer modules and torsion-free modules proven earlier for tame hereditary algebras.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F06%2F0510" target="_blank" >GA201/06/0510: Representations of associative rings and lattices</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Manuscripta Mathematica
ISSN
0025-2611
e-ISSN
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Volume of the periodical
2010
Issue of the periodical within the volume
132
Country of publishing house
DE - GERMANY
Number of pages
17
Pages from-to
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UT code for WoS article
000278120000011
EID of the result in the Scopus database
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