Browsing Zarko Mijajlovic by Issue Date

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BOOL - OVE ALGEBRE U LOGICI

Mijajlović, Žarko (Beograd , 1973)

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URI: http://hdl.handle.net/123456789/3841

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Z_M_Magistarski.pdf ( 6.405Mb )

A Contribution to Model Theory and Boolean Algebras

Mijajlović, Žarko (Belgrade , 1977)

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Abstract:

Part1. Basic notions of model theory are given. Part2. Dual notions in categories of Boolean algebras and Stone spaces are studied in respect to natural contra-variant functor. The cellularity number of a Boolean algebra B, celB is studied, certain cardinal properties are proved, e.g. it is consistent with ZFC that celB is attained for every Boolean algebra B. Part3. Lindenbaum algebras of first-order theories are studied in details. It is proved that every Boolean algebra is isomorphic to the Lindenbaum algebra B1 of Σ1 formulas of certain first-order complete theory. Stability number ST(k) of a first-order theory T is studied, and it is shown that ST(k) = Ku(k), where Ku(k) is the Kurepa number (Kurepa introduced it in 1935) and T is the theory of dense linear ordering without end-points, while the cardinality of the Stone space of B1(A), A is a model of T, is equal to ded(A), the Dedekind number of the ordering A. Ku(k)= sup{ded(A): A is a model of T, |A|=k}. Part4. Σn Πn ramifications of various notions in model theory are defined and studied, e.g. elementary embeddings, completeness, chains, direct limits, diagram properties, etc. Preservation theorems for these types of formulas are proved. Examples for including ordered structures and algebraic fields are given. Part5. Model completions and elimination of quantifiers are studied. As an application, it is proved that by means of model theory that the classes of Boolean algebras and distributive lattices with the least and the greatest elements are Jonsson’s classes. Algebraic description of saturated models of submodel-complete theories are given, unifying results of Haussdorff (dense linear ordering), Erdös, Gillman (ordered fields) and Boolean algebras (Negrepontis) for homogeneous-universal models. Part6. Here is studied what model-theoretic properties are absolute in ZF in the sense introduced by Levy, i.e. in which cases strong hypothesis (AC, GCH, V=L) can be eliminated from the proof of these properties. It is shown that the following properties of first-order theories are absolute: the consistency, completeness, model-completeness and elimination of quantifiers. These gives new light on model-theoretic proofs of these properties.

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http://hdl.handle.net/123456789/196

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phdZarkoMijajlovic.pdf ( 27.39Mb )

I Conference ALGEBRAIC and LOGIC SKOPJE 1980

Prešić, S.; Alimpić, B.; Prešić, M.; Mijajlović, Ž.; Božić, M.; Kapetanović, M.; Krapež, A.; Krstić, S.; Blagojević, D.; Krgović, D.; Gilezan, K.; Ušan, J.; Stojaković, Z.; Crvenković, S.; Bogdanović, S.; Milić, S.; Karčicka, D.; Trpenovski, B.; Stojmenovski, K.; Kržovski, P.; Markovski, S.; Čupona, G.; Celakoski, N. (MATEMATIČKI FAKULTET - SKOPJE , 1980)

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URI: http://hdl.handle.net/123456789/1645

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AllgConf.pdf ( 1.317Mb )
LOGIC COLLOQUIUM '80

Mijajlović, Žarko (Beograd , 1980)

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URI: http://hdl.handle.net/123456789/2017

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Binder1.pdf ( 450.7Kb )
Hilbertovi problemi i logika

Mijajlović, Žarko; Marković, Zoran; Došen, Kosta (Zavod za udžbenike i nastavna sredstva, Beograd , 1986)

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URI: http://hdl.handle.net/123456789/593

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HilbertoviProblemiILogika.pdf ( 6.657Mb )
An Introduction to Model Theory

Mijajlović, Žarko (Novi Sad , 1987)

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URI: http://hdl.handle.net/123456789/459

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bookZarkoMijajlovic.pdf ( 7.341Mb )
Uvod u teoriju grupa

Mijajlović, Žarko, Božović, Nataša (Belgrade , 1990)

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URI: http://hdl.handle.net/123456789/461

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UvodUTeorijuGrupaZMijajlovic.pdf ( 10.77Mb )
Algebra 1

Mijajlović, Žarko (Belgrade , 1993)

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URI: http://hdl.handle.net/123456789/462

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ZarkoMijajlovicAlgebra.pdf ( 6.257Mb )
Godel Theorems

Mijajlović, Žarko (Beograd , 1996)

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URI: http://hdl.handle.net/123456789/2266

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Binder z1 F.pdf ( 390.1Kb )
Selected Papers of Đuro Kurepa

Ivić, Aleksandar; Mamuzić, Zlatko; Mijajlović, Žarko; Todorčević, Stevo (Mathematical Institute SASA, Belgrade, Serbia , 1996)

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URI: http://hdl.handle.net/123456789/545

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ZarkoMijajlovicSelectedPapersOfDjuroKurepa.pdf ( 21.98Mb )
Sabrana dela Bogdana Gavrilovića

Gavrilović, Bogdan (Beograd , 1997)

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URI: http://hdl.handle.net/123456789/2248

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BG.iso ( 627.4Mb )
Bogdan Gavrilović - Biography

Mijajlović, Žarko (SASA, Belgrade , 1997)

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URI: http://hdl.handle.net/123456789/610

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BogdanGavrilovicBiography.pdf ( 154.2Kb )
Konferencija u čast 65 godina života profesora Slaviše Prešića

Mijajlović, Žarko (Beograd , 1998)

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URI: http://hdl.handle.net/123456789/2305

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Binder1 R.pdf ( 81.58Kb )
Digitization of nationall heritage 2004

Mijajlović, Žarko (Belgrade , 2004)

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URI: http://hdl.handle.net/123456789/2302

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Binder1 R.pdf ( 418.9Kb )
ASTRONOMSKA STANICA NA VIDOJEVICI

Mijajlović, Žarko (Astr. Soc. "Rudjer Bošković" , 2006)

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URI: http://hdl.handle.net/123456789/1141

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07Mijajlovic.pdf ( 543.7Kb )
The Project ASV (Conf. V)

Pejović, N.; Mijajlović, Ž. (Heron Press Ltd, Sofia , 2007)

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URI: http://hdl.handle.net/123456789/860

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Pejovic.pdf ( 771.3Kb )
Digitalizacija nacionalne baštine

Mijajlović, Žarko (Beograd , 2007)

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URI: http://hdl.handle.net/123456789/2303

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Binder1 R.pdf ( 479.7Kb )
Digitization of cultural and scientific heritage

Mijajlović, Žarko (Beograd , 2008)

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URI: http://hdl.handle.net/123456789/2260

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fourt seedi R.pdf ( 2.038Mb )
ASTRONOMIJA U UDŽBENIKU OSNOVI MATEMATIČNE I FIZIČKE GEOGRAFIJE PAVLA VUJEVIĆA

Pejović, Nadežda; Mijajlović, Žarko (Astr. Soc. "Rudjer Bošković" , 2008)

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URI: http://hdl.handle.net/123456789/1209

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29.pdf ( 795.1Kb )
ISTORIJA ASTRONOMIJE U PROKUPLJU

Pejović, Nadežda; Valjarević, Aleksandar; Simonović, Aleksandar; Mijajlović, Žarko (Astr. Soc. "Rudjer Bošković" , 2008)

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URI: http://hdl.handle.net/123456789/1200

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20.pdf ( 580.8Kb )

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