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master's thesis
Kvadratna polja
Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. urn:nbn:hr:126:952579
Turić, Marija
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Turić, M. (2023). Kvadratna polja (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:952579

Turić, Marija. "Kvadratna polja." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:952579

Turić, Marija. "Kvadratna polja." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:952579

Turić, M. (2023). 'Kvadratna polja', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:952579

Turić M. Kvadratna polja [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:952579

M. Turić, "Kvadratna polja", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:952579

Metadata
TitleKvadratna polja
Title (english)Quadratic Fields
AuthorMarija Turić
MentorMirela Jukić Bokun (mentor)
Committee memberIvan Matić (predsjednik povjerenstva)
Committee memberMirela Jukić Bokun (član povjerenstva)
Committee memberIvan Soldo (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-12-15, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu smo definirali osnovne algebarske strukture te pojmove algebarskog broja, algebarskog cijelog broja i naveli važne tvrdnje vezane uz njih. Definirali smo kvadratno polje i dvije važne skalarne funkcije na njima te naveli i dokazali njihova svojstva. Uveli smo pojam invertibilnog elementa te naveli tvrdnje i primjere vezane uz njih u imaginarnim i realnim kvadratnim poljima. Upoznali smo se s pojmom ireducibilnog elementa i naveli primjere i tvrdnje vezano uz njega. Na kraju smo se bavili s jedinstvenošću faktorizacije.
Abstract (english)
In this work, we have defined the basic algebraic structures and the notion of algebraic number, algebraic integer and stated important claims related to them. We have defined a quadratic field and two important scalar functions on them and stated and proved their properties. We introduced the concept of an invertible element and stated claims and examples related to them in imaginary and real quadratic fields. We were acquainted with the concept of an irreducible element and given examples and statements related to it. Finally, we dealt with the unique factorization.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:952579
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2023-12-19 07:19:59