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Title Implicators on some finite lattices Author info Bruteničová Michaela, Janiš Vladimír Author Bruteničová Michaela 1995- (50%) UMBFP10 - Katedra matematiky
Co-authors Janiš Vladimír 1963- (50%) UMBFP10 - Katedra matematiky
Source document Book of abstracts of the seventeenth international conference on fuzzy set theory and applications. Pp. 77-78. - Ostrava : Ostravská univerzita v Ostravě, 2024 ; FSTA 2024 medzinárodná konferencia Keywords matematika - mathematics konečné mriežky - finite lattices Form. Descr. abstrakty - abstracts Language English Country Czech Republic URL Link na zdrojový dokument Public work category AFH No. of Archival Copy 54294 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
article
Title Bohr compactifications of algebras and structures Author info B. A. Davey, M. Haviar, H. A. Priestley Author Davey Brian A. (34%)
Co-authors Haviar Miroslav 1965- (33%) UMBFP10 - Katedra matematiky
Priestley Hilary A. (33%)
Source document Applied Categorical Structures. Vol. 25, no. 3 (2017), pp. 403-430. - Dordrecht : Springer, 2017 Person keywords Bohr Niels dánsky fyzik 1885-1962 Keywords natural duality natural extension distributive lattices Stone-Čechova kompaktifikácia - Stone-Čech compactification Language English Country Netherlands systematics 51 Annotation 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. Public work category ADM No. of Archival Copy 39736 Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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Title Nimbhorkar, Shriram K.; Raheman, Anwari: A note on Stone join-semilattices Par.title Poznámka o stoneovských polozväzoch so spojením Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBFP10 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR2805325 (2012f:06011), pp. [1]. - Providence : American Mathematical Society, 2012 Review document Central European Journal of Mathematics (Centr. Eur. J. Math.) : Springer Verlag, 2011 Keywords algebra - algebra polozväzy zväzy - unions stoneovská identita semilattices lattices Stone identity Language English Country United States of America systematics 512 Public work category EDI No. of Archival Copy 25042 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Yazarli, Hasret; Öztürk, Mehmet Ali: Permuting tri-f derivations in lattices Par.title Permutovanie tri-f-derivácií na zväzoch Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBFP10 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR2789818 (2012c:06013), pp. [1]. - Providence : American Mathematical Society, 2012 Review document Commun. Korean Math. Soc. (Communications of the Korean Mathematical Society) : Korean Mathematical Society, 2011 Keywords algebra - algebra zväzy - unions derivácie na zväzoch lattices derivations on lattices Language English Country United States of America systematics 512 Public work category EDI No. of Archival Copy 25027 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Kenney, Toby: Graphical algebras - a new approach to congrence lattices Par.title Grafové algebry - nový prístup k zväzkom kongruencií Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBFP10 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR2781082 (2012g:08001), pp. [1-2]. - Providence : American Mathematical Society, 2012 Review document Algebra Universalis . - Basel : Springer, 2010 Keywords algebra - algebra grafová algebra zväzy kongruencií graph algebra congruence lattices Language English Country United States of America systematics 512 Public work category EDI No. of Archival Copy 25026 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Kowalski, T.; Paoli, F.; Giuntini, R., Ledda, A.: The lattice of subvarietes of quasi-MV algebras Par.title Zväz podvariet kvázi-MV algebier Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBFP10 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR2729654 (2012c:06024), pp. [1]. - Providence : American Mathematical Society, 2012 Review document Studia Logica : Springer, 2010 Keywords algebra - algebra MV-algebry zväz podvariet subvariety lattices Language English Country United States of America systematics 512 Public work category EDI No. of Archival Copy 25041 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Lattices with relative Stone congruence lattices Author info Daniela Guffová, Miroslav Haviar Author Guffová Daniela 1987- (50%) UMBFP10 - Katedra matematiky
Co-authors Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Source document Contributions to general algebra 19 : proceedings of the Olomouc conference 2010. S. 81-90. - Klagenfurt : Verlag Johannes Heyn, 2010 Keywords algebra - algebra zväzy kongruencií Stone congruence lattices Language English Country Germany systematics 512 Public work category AFC No. of Archival Copy 16923 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Vybrané kapitoly z teórie zväzov Par.title [Selected topies from lattice theory] Subtitle bakalárska práca Author info Daniela Guffová; vedúci bakalárskej práce: Miroslav Haviar Author Guffová Daniela 1987-
Another authors Haviar Miroslav 1965- (Školiteľ (konzultant))
Corporation Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Issue data Banská Bystrica , 2009. - 46 s. : grafy, tab. Note Súbežný názov angl.. - Katedra matematiky Fakulta prírodných vied Univerzita Mateja Bela v Banskej Bystrici Keywords matematika - mathematics distributívne zväzy modulárne zväzy distributive lattices modulare lattices Language Slovak Country Slovak Republic systematics 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xk - Kvalifikačné práce Copy count 1, currently available 0, at library only 1 
book
Title Grätzer, George; Roddy, Michael: Notes on sectionally complemented lattices. IV. How far does the atom lemma go? Par.title Poznámky a sekcionálne komplementárnych zväzoch. IV. Ako ďaleko sa dá ísť s atomickou lemou Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBFP10 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR2356186 (2008k:06007), pp. [1-2]. - Providence : American Mathematical Society, 2008 Review document Acta Math. Hungar. (Acta Mathematica Hungarica) : Akadémiai Kiadó, co-published with Springer, 2007 Keywords algebra - algebra zväzy - unions komplementárne zväzy lattices sectionally complemented lattice basic algebra horizontal sums Language English Country United States of America systematics 512 Public work category EDI No. of Archival Copy 23215 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title A measure extension theorem in l-groups Author info Alžbeta Michalíková Author Michalíková Alžbeta 1979- (100%) UMBFP05 - Katedra informatiky
Source document IPMU´08 : Information Processing and Management of Uncertainty in Knowledge-Based Systems : 12th International Conference June 22-27, 2008, Málaga. Pp. 1666-1670. - Málaga : Universidad de Málaga, 2008 Keywords measures extension of measure orthomodular and orthocomplemented lattices Language English Country Spain systematics 51 Public work category AFC No. of Archival Copy 9727 Repercussion category RIEČAN, Beloslav. Analysis of fuzzy logic models. In Intelligent systems. Rijeka : InTech, 2012. ISBN 978-953-51-0054-6, s. 219-243.
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