undergraduate thesis
Fields and Rings

Tena Tomičević (2016)
Sveučilište Josipa Jurja Strossmayera u Osijeku
Odjel za matematiku
Zavod za teorijsku matematiku
Katedra za algebru i matematičku analizu
Metadata
TitlePolja i prsteni
AuthorTena Tomičević
Mentor(s)Ivan Matić (thesis advisor)
Abstract
Glavna ideja ovog završnog rada je upoznavanje s algebarskim strukturama prstenima i poljima. Upoznat ćemo najvažnija svojstva binarnih operacija tih struktura i najbitnije definicije. Kako bi svojstva i definicije bile što razumljivije, navedeni su i neki primjeri prstena i polja. Opisano je i računanje pomoću Karatsubinog algoritma što uvelike skraćuje posao u računanju s velikim brojevima.
KeywordsRings fields Karatsuba multiplication
Parallel title (English)Fields and Rings
GranterSveučilište Josipa Jurja Strossmayera u Osijeku
Odjel za matematiku
Lower level organizational unitsZavod za teorijsku matematiku
Katedra za algebru i matematičku analizu
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Algebra
Study programme typeuniversity
Study levelundergraduate
Study programmeUniversity undergraduate study programme in mathematics
Academic title abbreviationuniv.bacc.math.
Genreundergraduate thesis
Language Croatian
Defense date2016-09-30
Parallel abstract (English)
The main idea of this Final Paper is introducing algebraic structures: rings and fields. We are going to introduce the most important properties of binary operations and main definitions. For better understanding of these properties and definitions, there are some examples of rings and fields set out. It is also described calculation by Karatsuba algorithm which makes work quicker when we calculate with large numbers.
Parallel keywords (Croatian)Prsteni polja Karatsubin algoritam
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:870248
CommitterMirna Šušak Lukačević