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Title Dual digraphs of finite semidistributive lattices Author info Andrew Craig ... [et al.] Author Craig Andrew (34%)
Co-authors Haviar Miroslav 1965- (33%) UMBFP10 - Katedra matematiky
São João José (33%)
Source document Cubo : a mathematical journal. Vol. 24, no. 3 (2022), pp. 369-392. - Temuco : Department of mathematics and statistics of the Universidad de La Frontera, 2021 Keywords grafové algoritmy algebraické štruktúry - algebraic structures matematika - mathematics Form. Descr. články - journal articles Language English Country Chile Annotation Dual digraphs of finite join-semidistributive lattices, meet-semidistributive lattices and semidistributive lattices are characterised. The vertices of the dual digraphs are maximal disjoint filter-ideal pairs of the lattice. The approach used here combines representations of arbitrary lattices due to Urquhart (1978) and Ploščcica (1995). The duals of finite lattices are mainly viewed as TiRS digraphs as they were presented and studied in Craig–Gouveia–Haviar (2015 and 2022). When appropriate, Urquhart’s two quasi-orders on the vertices of the dual digraph are also employed. Transitive vertices are introduced and their role in the domination theory of the digraphs is studied. In particular, finite lattices with the property that in their dual TiRS digraphs the transitive vertices form a dominating set (respectively, an in-dominating set) are characterised. A characterisation of both finite meet- and join-semidistributive lattices is provided via minimal closure systems on the set of vertices of their dual digraphs. URL Link na plný text Public work category ADM No. of Archival Copy 52754 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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Title Basic algebra Subtitle for future teachers Author info Miroslav Haviar, Pavel Klenovčan; rec. Gareth Jones, Tomáš Zdráhal ... [et al.] Author Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Co-authors Klenovčan Pavel 1950- (50%) UMBPF07 - Katedra elementárnej a predškolskej pedagogiky
Another authors Jones Gareth A. 1946- (Recenzent)
Zdráhal Tomáš (Recenzent)
Zimka Rudolf 1943- (Recenzent)
Issue data Banská Bystrica : Vydavateľstvo Univerzity Mateja Bela - Belianum , 2016. - 329 s. Issue 1. vyd. ISBN 978-80-557-1035-8 Keywords algebra - algebra algebraické štruktúry - algebraic structures polynomická algebra lineárna algebra - linear algebra vysokoškolské učebnice - učebnice vysokých škôl polynomial algebra university textbooks Language English Country Slovak Republic systematics 512 Public work category ACB No. of Archival Copy 35886 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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Title The inclusion-exclusion principle on some algebraic structures Par.title Princíp inklúzie a exklúzie na niektorých algebraických štruktúrach Author info Mária Kuková Author Kuková Mária 1986- (100%) UMBFP10 - Katedra matematiky
Source document Recent Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics : ninth International Workshop, Varsaw, October 8, 2010, Volume I - Foundations. S. 123-126. - Warsaw : Systems Research Institute, Polish Academy od Sciences, 2011 / Atanassov Krassimir ; Intuitionistic Fuzzy Sets and Generalized Nets (WIFSGN-2010) Ninth International Workshop Keywords inclusion-exclusion principle algebraické štruktúry - algebraic structures princíp inklúzie a exklúzie Language English Country Poland systematics 512 Public work category AFC No. of Archival Copy 20691 Repercussion category RIEČAN, Beloslav. Analysis of fuzzy logic models. In Intelligent systems. Rijeka : InTech, 2012. ISBN 978-953-51-0054-6, pp. 219-244.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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Title Izomorfizmus Author info Pavel Klenovčan Author Klenovčan Pavel 1950- UMBPF03 - Katedra matematiky
Source document The 1st International Conference on Applied Mathematics and Informatics at Universities '2001, September 6-7, 2001 : Proceedings of contributed papers. S. 321-325. - Trnava : MTF STU, 2001 Note Res. slov., bibliogr. odkazy: s. 325 Keywords matematika - mathematics vyučovanie - teaching algebraické štruktúry - algebraic structures izomorfizmus - isomorphism systematics 512 Public work category AFD Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Metrics on systems of finite algebras Par.title Metriky na systémoch konečných algebier Author info Alfonz Haviar Title Subtitle Translation : Metriky na systémoch konečných algebier Author Haviar Alfonz UMBFP10 - Katedra matematiky
Source document Acta Universitatis Matthiae Belii : series Mathematics, No. 3. S. 9-16. - Banská Bystrica : Matej Bel University, 1995 / Monoszová Gabriela 1955- Note Bibl.: .5 zázn. v angl., obr.1 Keywords algebraické štruktúry - algebraic structures metrika (matematika) - metric (mathematics) štúdie Language English Country Slovak Republic systematics 512 Annotation Res. angl. Public work category AED Catal.org. UKUMB###UK UMB###BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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