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The homotopy theory of complete modules

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10452297" target="_blank" >RIV/00216208:11320/22:10452297 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=4dI_4nmyAx" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=4dI_4nmyAx</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jalgebra.2021.11.030" target="_blank" >10.1016/j.jalgebra.2021.11.030</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The homotopy theory of complete modules

  • Original language description

    Given a commutative ring R and finitely generated ideal I, one can consider the classes of I-adically complete, L-0(I)-complete and derived I -complete complexes. Under a mild assumption on the ideal I called weak pro-regularity, these three notions of completions interact well. We consider the classes of I-adically complete, L-0(I)-complete and derived I -complete complexes and prove that they present the same homotopy theory. Given a ring homomorphism R -&gt;&amp; nbsp; S, we then give necessary and sufficient conditions for the categories of complete R complexes and the categories of complete S -complexes to have equivalent homotopy theories. This recovers and generalizes a result of Sather-Wagstaff and Wicklein on extended local (co)homology. (C)&amp; nbsp;2021 Elsevier Inc. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GJ20-02760Y" target="_blank" >GJ20-02760Y: Cohen-Macaulay rings and their applications in higher algebra and topology</a><br>

  • Continuities

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

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Algebra

  • ISSN

    0021-8693

  • e-ISSN

    1090-266X

  • Volume of the periodical

    594

  • Issue of the periodical within the volume

    594

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    27

  • Pages from-to

    74-100

  • UT code for WoS article

    000789489300003

  • EID of the result in the Scopus database

    2-s2.0-85121098242