| dc.contributor.advisor |
Branković, Dragić |
|
| dc.contributor.author |
Marinković, Silvana |
|
| dc.date.accessioned |
2011-12-07T08:50:18Z |
|
| dc.date.available |
2011-12-07T08:50:18Z |
|
| dc.date.issued |
2011 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/1842 |
|
| dc.description.abstract |
In this dissertation functions and equations in some classes of lattices such as Post algebras, Stone algebras and multiple-valued logics, are studied. The dissertation, beside Preface and References with 46 items, consists of five chapters. In Introduction some basic notations which will be used in next chapters are given. Main results on Boolean functions and equations are exposed in Chapter 2. In Chapter 3, assuming that a general solution is known, the class of reproductive general solutions of the equation in Stone algebra is described. All general solutions of equations in one variable in multiple-valued logic are described in Chapter 4. A necessary and sufficient conditions that given sequence of recurrent inequalities represents solution of some consistent Post equation are given in Chapter 5. Also, it is proved that every Post transformation is the parametric solution of some consistent Post equation. |
en_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2011-12-07T08:50:18Z
No. of bitstreams: 1
SilvanaMarinkovicDoktorat.pdf: 360358 bytes, checksum: 15dec0091f3fec6d9ae01946b2b09616 (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2011-12-07T08:50:18Z (GMT). No. of bitstreams: 1
SilvanaMarinkovicDoktorat.pdf: 360358 bytes, checksum: 15dec0091f3fec6d9ae01946b2b09616 (MD5)
Previous issue date: 2011 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Kragujevac, Serbia |
en_US |
| dc.title |
JEDNAČINE NA NEKIM MREŽAMA |
en_US |
| mf.author.birth-date |
1960 |
|
| mf.author.birth-place |
Rača |
en_US |
| mf.author.birth-country |
Yugoslavia |
en_US |
| mf.author.citizenship |
Serbian |
en_US |
| mf.author.nationality |
Serbian |
en_US |
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
general solution of equation, reproductive general solution, Post equation, equation in multiple-valued logic, equation in Stone algebra |
en_US |
| mf.subject.subarea |
Algebra and logic |
en_US |
| mf.subject.msc |
06D15, 06E30, 06D25 |
|
| mf.contributor.committee |
Vojvodić, Gradimir |
|
| mf.contributor.committee |
Djordjević, Radosav |
|
| mf.university.faculty |
Prirodno-matematički fakultet |
en_US |
| mf.document.references |
46 |
en_US |
| mf.document.pages |
55 |
en_US |
| mf.document.location |
Faculty of Science and Mathematics, University of Kragujevac, Serbia |
en_US |
| mf.document.genealogy-project |
Yes |
en_US |