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Approximations and locally free modules

The result's identifiers

  • 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>

Alternative languages

  • 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

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Bulletin of the London Mathematical Society

  • ISSN

    0024-6093

  • e-ISSN

  • Volume of the periodical

    46

  • Issue of the periodical within the volume

    2014

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    15

  • Pages from-to

    76-90

  • UT code for WoS article

    000330193400008

  • EID of the result in the Scopus database