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    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.
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    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
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    NázovK rozlíšeniu medzi ontológiou a metafyzikou u E. Lévinasa
    Súbež.n.On Lévinas' distinction between ontology and metaphysics
    Aut.údajeJaroslav Cepko
    Autor Cepko Jaroslav 1976- (100%) UMBFH10 - Katedra filozofických vied
    Zdroj.dok. Filozofia. Roč. 65, č. 7 (2010), s. 652-663. - Bratislava : Filozofický ústav Slovenskej akadémie vied, 2010
    Heslá pers. Lévinas Emanuel francúzsko-židovský filozof 1906-1995
    Kľúč.slová ontológia - ontology   metafyzika - metaphysics   Immanence   self-transcendence  
    Jazyk dok.slovenčina
    KrajinaSlovenská republika
    AnotáciaThere are several terms in Levinas' philosophy, to which his reader better should not assign traditional meanings. The paper focuses on Levinas' usage of the terms "ontology" and "metaphysics", which reveal the philosopher's attempt to find their new interpretations. In his perspective, both terms become synonyms of the key concepts of his philosophy. In the context of Levinas' criticism of Western philosophical tradition, "ontology" refers to totalization, i.e. a philosophy aiming at a unity, but at the same time denying the alterity of the Other. "Metaphysics", on the other hand, expresses transcendence leading to plurality and cherishing the otherness. Levinas finds its formal structure in Descartes' idea of the infinity in us and its tangible expression in the ethical attitude towards the Other. Consequently, the term "first philosophy" should be attributed to ethics, not as a normative and casuistic discipline, but as a relation to the Other in his otherness, which the philosophy
    Kategória publikačnej činnosti ADD
    Číslo archívnej kópie17676
    Katal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Báza dátxpca - PUBLIKAČNÁ ČINNOSŤ
    OdkazyPERIODIKÁ-Súborný záznam periodika
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