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Canonical extensions of lattices are more than perfect

  1. NázovCanonical extensions of lattices are more than perfect
    Aut.údajeAndrew P. K. Craig, Maria J. Gouveia, Miroslav Haviar
    Autor Craig Andrew, P. K. (34%)
    Spoluautori Gouveia Maria Joao (33%)
    Haviar Miroslav 1965- (33%) UMBFP10 - Katedra matematiky
    Zdroj.dok. Algebra Universalis. Vol. 83, no. 2 (2022), pp. [1-17]. - Basel : Springer Nature Switzerland AG, 2022
    Kľúč.slová kanonické rozšírenia   matematika - mathematics  
    Form.deskr.články - journal articles
    Jazyk dok.angličtina
    KrajinaŠvajčiarsko
    AnotáciaIn a paper published in 2015, we introduced TiRS graphs and TiRS frames to create a new natural setting for duals of canonical exten sions of lattices. Here, we firstly introduce morphisms of TiRS structures and put our correspondence between TiRS graphs and TiRS frames into a full categorical framework. We then answer Problem 2 from our 2015 paper by characterising the perfect lattices that are dual to TiRS frames (and hence TiRS graphs). We introduce a new subclass of perfect lattices called PTi lattices and show that the canonical extensions of lattices are PTi lattices, and so are ‘more’ than just perfect lattices. We illustrate the correspondences between classes of our newly-described PTi lattices and classes of TiRS graphs by examples. We conclude by outlining a direction for future research.
    URLLink na plný text
    Kategória publikačnej činnosti ADC
    Číslo archívnej kópie51538
    Katal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Báza dátxpca - PUBLIKAČNÁ ČINNOSŤ
    OdkazyPERIODIKÁ-Súborný záznam periodika
    Názov
    The Impact of Temporary Uses in the Revitalization of City Centres – The Case of Ingolstadt, Germany
    Súbež.n.
    [Vplyv dočasného užívania na revitalizáciu mestského centra – prípad mesta Ingolstadt v Nemecku]
    Podnázov
    diplomová práca
    Aut.údaje
    Valentin Herbold; školiteľ: Harald Pechlaner
    AutorĎalší autori
    Pechlaner Harald (Školiteľ (konzultant))
    Korp.Vyd.údajeKľúč.slová
    revitalizácie - revitalizácia - revitalization
     
     
Number of the records: 1  

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