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undergraduate thesis
Realna polja
2018. urn:nbn:hr:126:110142
Glavačević, Ana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group

Cite this document

Glavačević, A. (2018). Realna polja (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:110142

Glavačević, Ana. "Realna polja." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:110142

Glavačević, Ana. "Realna polja." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:110142

Glavačević, A. (2018). 'Realna polja', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 May 2022, https://urn.nsk.hr/urn:nbn:hr:126:110142

Glavačević A. Realna polja [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2022 May 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:110142

A. Glavačević, "Realna polja", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:110142

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Metadata
TitleRealna polja
Title (english)Real Fields
AuthorAna Glavačević
MentorIvan Matić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Algebra and Calculus Research Group)
Osijek
Defense date and country2018-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovome radu pisat ćemo o realnim poljima. U uvodnom dijelu navest ćemo definiciju prstena, njegova osnovna svojstva te pojmove poput djelitelj nule, grupa invertibilnih elemenata, polje, proširenje polja, algebarski zatvoreno polje, izomorfizam. Nadalje, u drugom dijelu opisat ćemo uređena polja, prokomentirati postojanje beskonačno velikih brojeva te objasniti arhimedsko polje. Nakon toga ćemo definirati realno polje i iskazati i dokazati bitne teoreme, leme i propozicije vezane uz takvo polje. Također, reći ćemo nešto i o postojanju homomorfizama.
Abstract (english)
In this term paper we write about real fields. In introduction we cite the definition of the ring, it’s elementary characteristics and terms as divisor of zero, integral domain, group of invertible elements, field, extension field, algebraically closed field, isomorphism. Furthermore, in the second part we describe the ordered fields, comment on the existence of infinitely large numbers and explain the archimedean field. After that we define the real field and we state and prove theorems, lemma and propositions related to such a field. We also say something about the existence of homomorphisms
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:110142
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2018-10-18 10:17:14