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$mu$-abstract elementary classes and other generalizations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F16%3A00087887" target="_blank" >RIV/00216224:14310/16:00087887 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jpaa.2016.02.002" target="_blank" >http://dx.doi.org/10.1016/j.jpaa.2016.02.002</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jpaa.2016.02.002" target="_blank" >10.1016/j.jpaa.2016.02.002</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    $mu$-abstract elementary classes and other generalizations

  • Original language description

    We introduce $mu$-Abstract Elementary Classes ($mu$-AECs) as a broad framework for model theory that includes complete boolean algebras and Dirichlet series, and begin to develop their classification theory. Moreover, we note that $mu$-AECs correspond precisely to accessible categories in which all morphisms are monomorphisms, and begin the process of reconciling these divergent perspectives: not least, the preliminary classification-theoretic results for $mu$-AECs transfer directly to accessible categories with monomorphisms.

  • 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/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

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

Others

  • Publication year

    2016

  • 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 Pure and Applied Algebra

  • ISSN

    0022-4049

  • e-ISSN

  • Volume of the periodical

    220

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    19

  • Pages from-to

    3048-3066

  • UT code for WoS article

    000375736300002

  • EID of the result in the Scopus database