Výsledky vyhľadávania
Názov Bohr compactifications of algebras and structures Aut.údaje B. A. Davey, M. Haviar, H. A. Priestley Autor Davey Brian A. (34%)
Spoluautori Haviar Miroslav 1965- (33%) UMBFP10 - Katedra matematiky
Priestley Hilary A. (33%)
Zdroj.dok. Applied Categorical Structures. Vol. 25, no. 3 (2017), pp. 403-430. - Dordrecht : Springer, 2017 Heslá pers. Bohr Niels dánsky fyzik 1885-1962 Kľúč.slová natural duality natural extension distributive lattices Stone-Čechova kompaktifikácia - Stone-Čech compactification Jazyk dok. angličtina Krajina Holandsko Systematika 51 Anotácia This paper provides a unifying framework for a range of categorical constructions characterised by universal mapping properties, within the realm of compactifications of discrete structures. Some classic examples fit within this broad picture: the Bohr compactification of an abelian group via Pontryagin duality, the zero-dimensional Bohr compactification of a semilattice, and the Nachbin order-compactification of an ordered set. The notion of a natural extension functor is extended to suitable categories of structures and such a functor is shown to yield a reflection into an associated category of topological structures. Our principal results address reconciliation of the natural extension with the Bohr compactification or its zero-dimensional variant. In certain cases the natural extension functor and a Bohr compactification functor are the same; in others the functors have different codomains but may agree on all objects. Coincidence in the stronger sense occurs in the zero-dimensional setting precisely when the domain is a category of structures whose associated topological prevariety is standard. It occurs, in the weaker sense only, for the class of ordered sets and, as we show, also for infinitely many classes of ordered structures. Coincidence results aid understanding of Bohr-type compactifications, which are defined abstractly. Ideas from natural duality theory lead to an explicit description of the natural extension which is particularly amenable for any prevariety of algebras with a finite, dualisable, generator. Examples of such classes-often varieties-are plentiful and varied, and in many cases the associated topological prevariety is standard. Kategória publikačnej činnosti ADM Číslo archívnej kópie 39736 Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
nerozpoznaný
Názov Vybrané kapitoly z teórie zväzov Súbež.n. [Selected topies from lattice theory] Podnázov bakalárska práca Aut.údaje Daniela Guffová; vedúci bakalárskej práce: Miroslav Haviar Autor Guffová Daniela 1987-
Ďalší autori Haviar Miroslav 1965- (Školiteľ (konzultant))
Korp. Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Vyd.údaje Banská Bystrica , 2009. - 46 s. : grafy, tab. Poznámka Súbežný názov angl.. - Katedra matematiky Fakulta prírodných vied Univerzita Mateja Bela v Banskej Bystrici Kľúč.slová matematika - mathematics distributívne zväzy modulárne zväzy distributive lattices modulare lattices Jazyk dok. slovenčina Krajina Slovenská republika Systematika 51 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xk - Kvalifikačné práce Počet ex. 1, z toho voľných 0, prezenčne 1 
kniha
Názov Congruence-preserving functions on distributive lattices Aut.údaje Miroslav Ploščica, Miroslav Haviar Autor Ploščica Miroslav (50%)
Spoluautori Haviar Miroslav 1965- (50%) UMBUV01 - Ústav vedy a výskumu
Zdroj.dok. Algebra Universalis. Vol. 59, no. 1-2 (2008), pp. 179-196. - Cham : Springer Nature Switzerland AG, 2008 Kľúč.slová algebra - algebra distributívne zväzy distributive lattices Jazyk dok. angličtina Krajina Švajčiarsko Systematika 512 Kategória publikačnej činnosti ADE Číslo archívnej kópie 10178 Kategória ohlasu GRÄTZER, George. Lattice theory : foundation. Basel : Birkhäuser Verlag AG, 2011. 613 p. ISBN 978-3-0348-0017-4.
HALAŠ, Radomír - MESIAR, Radko - PÓCS, Jozef. Congruences and the discrete Sugeno integrals on bounded distributive lattices. In Information sciences. ISSN 0020-0255, 2016, vol. 367-368, pp. 443-448.
HALAŠ, Radomír - MESIAR, Radko - PÓCS, Jozef. A new characterization of discrete Sugeno integrals on bounded distributive lattices. In ESCIM 2015 : proceedings of 7th European symposium on computational intelligence and mathematics, Cádiz, Spain October 7th-10th, 2015. Cádiz : Universidad de Cádiz, 2015. pp. 32-37.
CÉGIELSKI, Patrick - GRIGORIEFF, Serge - GUESSARIAN, Irène. Congruence preserving functions on free monoids. In Algebra universalis. ISSN 0002-5240, 2017, vol. 78, no. 3, pp. 389-406.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
článok