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Title Ploščica, Miroslav: Affine completions of distributive lattices Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBPF03 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR1420402 (97j:06014), pp. [1-2]. - Providence : American Mathematical Society, 1997 Review document Affinne completions of distributive lattices / Miroslav Ploščica. - [Heidelberg] : Springer Netherlands, 1996 Keywords algebra - algebra afinne úplná algebra recenzie - reviews Language English Country United States of America systematics 51 Public work category EDI No. of Archival Copy 43322 Catal.org. UKUMB###KHPV###BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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Title Ploščica, Miroslav: Affine complete distributive lattices Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBPF03 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR1321755 (96d:08004), pp. [1]. - Providence : American Mathematical Society, 1996 Review document Affine complete distributive lattices / Miroslav Ploščica. - [Heidelberg] : Springer Netherlands, 1994 Keywords algebra - algebra distributívne zväzy afinne úplné recenzie - reviews Language English Country United States of America systematics 51 Public work category EDI No. of Archival Copy 43341 Catal.org. UKUMB###KHPV###BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ book
Title Perfect extensions of de Morgan algebras Author info Miroslav Haviar, Miroslav Ploščica Author Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Co-authors Ploščica Miroslav (50%)
Source document Algebra Universalis. Vol. 82, no. 4 (2021), art. no. 58, pp. 1-8. - Basel : Springer Nature Switzerland AG, 2021 Keywords De Morganova algebra - De Morgan algebra MS-algebra rozšírenie - extension Boolean algebra Form. Descr. články - journal articles Language English Country Switzerland Annotation An algebra A is called a perfect extension of its subalgebra B if every congruence of B has a unique extension to A. This terminology was used by Blyth and Varlet [1994]. In the case of lattices, this concept was described by Grätzer and Wehrung [1999] by saying that A is a congruence-preserving extension of B. Not many investigations of this concept have been carried out so far. The present authors in another recent study faced the question of when a de Morgan algebra M is perfect extension of its Boolean subalgebra B(M), the so-called skeleton of M. In this note a full solution to this interesting problem is given. The theory of natural dualities in the sense of Davey and Werner [1983] and Clark and Davey [1998], as well as Boolean product representations, are used as the main tools to obtain the solution. URL Link na plný text Link na zdrojový dokument Public work category ADC No. of Archival Copy 50558 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 Congruence pairs of principal MS-algebras and perfect extensions Author info Abd El-Mohsen Badawy, Miroslav Haviar, Miroslav Ploščica Author El-Mohsen Badawy Abd (34%)
Co-authors Haviar Miroslav 1965- (33%) UMBFP10 - Katedra matematiky
Ploščica Miroslav (33%)
Source document Mathematica Slovaca. Vol. 70, no. 6 (2020), pp. 1275-1288. - Bratislava : Slovenská akadémia vied, Matematický ústav SAV, 2020 Keywords algebra - algebra MS-algebra MS-kongruenčné dvojice - MS-congruence pairs Form. Descr. články - journal articles Language English Country Slovak Republic Annotation V práci je študovaný pojem kongruenčnej dvojice pre hlavné MS-algebry, ktorý je jednoduchší než pojem zavedený Beazerom pre K2-algebry. Je dokázané, že kongruencie hlavných MS-algebier L korešpondujú s MS-kongruenčnými dvojicami na jednoduchších podštruktúrach asociovaných k L. Analógia so známym Grätzerovým problémom formulovaným pre distributívne p-algebry je prezentovaná pre hlavné MS-algebry (Problém 1). V práci je demonštrované na triede hlavných MS-algebier, že možné riešenie problému môže byť jednoduché a elegantné. Ako krok k opisnejšiemu riešeniu Problému 1 je následne uvažovaný špeciálny prípad, keď hlavná MS-algebra L je perfektným rozšírením jej najväčšej Stoneovej podalgebry LS. Dva príklady ilustrujúce kedy tento špeciálny prípad nastáva a kedy nie sú prezentované. / The notion of a congruence pair for principal MS-algebras, simpler than the one given by Beazer for K2-algebras, is studied. It is proved that the congruences of the principal MS-algebras L correspond to the MS-congruence pairs on simpler substructures associated to L. An analogy of a well-known Grätzer’s problem formulated for distributive palgebras is presented here for the principal MS-algebras (Problem 1). It is demonstrated here on the class of principal MS-algebras that a possible solution to the problem can be simple and elegant. As a step to a more descriptive solution of Problem 1, a special case is then considered when a principal MS-algebra L is a perfect extension of its greatest Stone subalgebra LS. Two examples illustrating when this special case happens and when it does not are presented URL Link na plný text Public work category ADN No. of Archival Copy 49000 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 Ploščica, Miroslav: Iterative separation in distributive congruence lattices Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBFP10 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR2486899 (2010b:06005), pp. [1]. - Providence : American Mathematical Society, 2010 Review document Iterative separation in distributive congruence lattices / Miroslav Ploščica. - Bratislava : Matematický ústav SAV, 2009 Keywords matematika - mathematics recenzie - reviews Language English Country United States of America systematics 51 Public work category EDI No. of Archival Copy 43249 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Superprimes and generalized Dirichlet theorem Author info Miroslav Haviar, Peter Maličký Author Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Co-authors Maličký Peter 1956- (50%) UMBFP10 - Katedra matematiky
Source document Acta Universitatis Matthiae Belii : series Mathematics : special issue dedicated to 70th birthday of Alfonz Haviar, No. 15. S. 21-35. - Banská Bystrica : Ústav vedy a výskumu Univerzity Mateja Bela v Banskej Bystrici, 2009 / Nedela Roman 1960- ; Haviar Miroslav 1965- ; Ploščica Miroslav Keywords prvočíslo superčíslo Dirichletova veta prvočísla - prime numbers superprime Dirichlet theorem Language English Country Slovak Republic systematics 51 Public work category AED No. of Archival Copy 15066 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Fonzo Haviar is seventy this year Par.title Fonzo Haviar má tento rok sedemdesiatku Author info Miroslav Haviar, Ľubomír Snoha Author Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Co-authors Snoha Ľubomír 1955- (50%) UMBFP10 - Katedra matematiky
Source document Acta Universitatis Matthiae Belii : series Mathematics : special issue dedicated to 70th birthday of Alfonz Haviar, No. 15. S. 5-10. - Banská Bystrica : Ústav vedy a výskumu Univerzity Mateja Bela v Banskej Bystrici, 2009 / Haviar Miroslav 1965- ; Ploščica Miroslav Note Bibl.: s. 8-10 Person keywords Haviar Miroslav 1965- Keywords personálne bibliografie - personal bibliographies Language English Country Slovak Republic systematics 929 Public work category GII No. of Archival Copy 16245 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Ploščica, Miroslav: Non-representable distributive semilattices Author info Miroslav Haviar Author Haviar Miroslav 1965- (100%) UMBFP10 - Katedra matematiky
Source document MathSciNet : Mathematical Reviews on the web. online, MR2440262 (2009e:06011), pp. [1-2]. - Providence : American Mathematical Society, 2009 Review document Non-representable distributive semilattices / Miroslav Ploščica. - Amsterdam : Elsevier, 2008 Keywords matematika - mathematics recenzie - reviews Language English Country United States of America systematics 51 Public work category EDI No. of Archival Copy 43258 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Acta Universitatis Matthiae Belii Subtitle series Mathematics Document part No. 15 (2009) Author info [edited by Miroslav Haviar, Miroslav Ploščica] Another authors Haviar Miroslav 1965- (Editor)
Ploščica Miroslav (Editor)
Issue data Banská Bystrica : Ústav vedy a výskumu Univerzity Mateja Bela v Banskej Bystrici , 2009. - 79 s. : il., tab., 25 cm Issue 1st ed. ISBN 978-80-8083-906-2 Note 110 výtl.. - Bibliogr. odkazy Person keywords Haviar Alfonz Keywords matematika - mathematics zborníky UMB Banská Bystrica Language English Country Slovak Republic systematics 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 18, currently available 14, at library only 4 book
Call number Location Sublocation Umiestnenie Info 311890 Univerzita Mateja Bela Department of social studies and ethnology In-Library Use Only 311891 Univerzita Mateja Bela Department of social studies and ethnology In-Library Use Only 333064 Univerzita Mateja Bela Universal reading room In-Library Use Only 333065 Univerzita Mateja Bela Department of absent lending 333066 Univerzita Mateja Bela Department of absent lending 333067 Univerzita Mateja Bela Department of absent lending 333068 Univerzita Mateja Bela Department of absent lending 333069 Univerzita Mateja Bela Department of absent lending 333070 Univerzita Mateja Bela Department of absent lending 333071 Univerzita Mateja Bela Department of absent lending 333072 Univerzita Mateja Bela Department of absent lending 333073 Univerzita Mateja Bela Department of absent lending 333074 Univerzita Mateja Bela Department of absent lending 333075 Univerzita Mateja Bela Department of absent lending 333076 Univerzita Mateja Bela Department of absent lending 333077 Univerzita Mateja Bela Department of absent lending 333078 Univerzita Mateja Bela Department of absent lending 344375 Univerzita Mateja Bela Department of social studies and ethnology In-Library Use Only Title Acta Universitatis Matthiae Belii Subtitle series Mathematics special issue dedicated to 70th birthday of Alfonz Haviar Document part No. 15 Author info ed. Roman Nedela, Miroslav Haviar, Miroslav Ploščica Another authors Nedela Roman 1960- (Editor) (34%) UMBFP10 - Katedra matematiky
Haviar Miroslav 1965- (Editor) (33%) UMBFP10 - Katedra matematiky
Ploščica Miroslav (Editor) (33%) UMBFP10 - Katedra matematiky
Issue data Banská Bystrica : Ústav vedy a výskumu Univerzity Mateja Bela v Banskej Bystrici , 2009. - 79 s. Issue 1. vyd. ISBN 978-80-8083-906-2 Person keywords Haviar Alfonz Keywords matematika - mathematics zborníky UMB Banská Bystrica Language English Country Slovak Republic systematics 51 Public work category FAI No. of Archival Copy 15065 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References (2) - PUBLIKAČNÁ ČINNOSŤ book