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Acta Universitatis Matthiae Belii Series Mathematics Special issue dedicated to 70th birthday of Alfonz Haviar |
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No: 15 Editors: Miroslav Haviar and Miroslav Ploščica Date of Issue: December, 2009 Published by: Matej Bel University, Národná 12 Printed by: Bratia Sabovci, s.r.o ISBN: 978-80-8083-906-2 First edition |
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| Editorial |
| Miroslav Haviar and Ľubomír Snoha |
| Received: 23.10.2009 |
| Accepted: 24.11.2009 |
 Download full version 1.2 MB |
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| Direct Decompositions of Basic Algebras and Their Idempotent Modifications |
| Ivan Chajda and Miroslav Kolařík |
| Keywords and phrases: basic algebra, interval algebra, direct decomposition, strong ele- ment, decomposing element, idempotent modification. |
| Mathematics Subject Classification: (2000) 06D15, 06B05, 03G25. |
| Received: 24.11.2008 |
| Accepted: 24.11.2009 |
| Download full version 168 KB |
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| Superprimes and Generalized Dirichlet Theorem |
| Miroslav Haviar and Peter Maličký |
| Keywords and phrases:Prime number, superprime, Dirichlet's Theorem, Generalized Dirichlet Theorem, Mersenne prime, Fermat prime. |
| Mathematics Subject Classification: (2000) Primary 06D15; Secondary 08A40. |
| Received: 26.6.2009 |
| Accepted: 24.11.2009 |
| Download full version 410 KB |
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| Facial Non-Repetitive Edge Colouring of Semiregular Polyhedra |
| Stanislav Jendroľ and Erika Škrabuľáková |
| Keywords and phrases: 3-dimensional polyhedron, convex polyhedron, non-repetitive graph colouring. |
| Mathematics Subject Classification: (2000) 05C10; 05C15, 52B10. |
| Received: 22.6.2009 |
| Accepted: 24.11.2009 |
| Download full version 999 KB |
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| Homomorphic Extensions of Pseudocomplemented Semilattices |
| Tibor Katriňák and Jaroslav Guričan |
| Keywords and phrases: pseudocomplemented semilattice, (finite, simple) extensions of a subalgebra, homomorphic extension. |
| Mathematics Subject Classification: Primary: 06A12, 08A10, Secondary: 06D15. |
| Received: 13.5.2009 |
| Accepted: 24.11.2009 |
| Download full version 348 KB |
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| On Formations of Lattices |
| Judita Lihová and Jozef Pócs |
| Keywords and phrases: Lattice, formation. |
| Mathematics Subject Classification: (2000) 03610. |
| Received: 18.5.2009 |
| Accepted: 24.11.2009 |
| Download full version 434 KB |
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| Stability of Homomorphisms Between Compact Algebras |
| Pavol Zlatoš |
| Keywords and phrases: Topological universal algebra, compact, uniformity, continuous ho- momorphism, stability. |
| Mathematics Subject Classification: (2000) Primary 46H05, 22A30; Secondary 08A99, 54C35, 54E15. |
| Received: 17.4.2009 |
| Accepted: 24.11.2009 |
| Download full version 360 KB |
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