Approximations and locally free modules

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10285166" target="_blank" >RIV/00216208:11320/14:10285166 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1112/blms/bdt069" target="_blank" >http://dx.doi.org/10.1112/blms/bdt069</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/blms/bdt069" target="_blank" >10.1112/blms/bdt069</a>

Result language
angličtina
Original language name
Approximations and locally free modules
Original language description
For any set of modules S, we prove the existence of precovers (right approximations) for all classes of modules of bounded C-resolution dimension, where C is the class of all S-filtered modules. In contrast, we use infinite-dimensional tilting theory toshow that the class of all locally free modules induced by a non-Sigma-pure-split tilting module is not precovering. Consequently, the class of all locally Baer modules is not precovering for any countable hereditary artin algebra of infinite representation type.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F09%2F0816" target="_blank" >GA201/09/0816: Algebraic Methods in the Representation Theory (Approximations, Realizations, and Constraints)</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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