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Title:Racionalne involucije : na študijskem programu 2. stopnje Matematika
Authors:ID Mastev, Ivan (Author)
ID Romanovski, Valery (Mentor) More about this mentor... New window
ID Žulj, Maja (Comentor)
Files:.pdf MAG_Mastev_Ivan_2023.pdf (533,17 KB)
MD5: F0C841A83B7A4F509A4A04E927619409
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V magistrskem delu določamo dvodimenzionalne racionalne involucije s pomočjo določenih metod v računski komutativni algebri. Najprej poiščemo vse dvodimenzionalne racionalne involucije, ki imajo v števcih in imenovalcih polinome stopnje ena, nato pa poiščemo vse dvodimenzionalne racionalne involucije, ki imajo v števcih in imenovalcih polinome stopnje dve. Zapisana je teorija, ki se uporablja pri določanju teh involucij, kot tudi vsi algoritmi, ki omogočajo iskanje rešitev.
Keywords:racionalne involucije, ideal, groebnerjeva baza, afina raznoterost, polinomi
Place of publishing:Maribor
Place of performance:Maribor
Publisher:[I. Mastev]
Year of publishing:2023
Number of pages:VIII, 58 str.
PID:20.500.12556/DKUM-84627 New window
UDC:512.622(043.2)
COBISS.SI-ID:162695427 New window
Publication date in DKUM:30.08.2023
Views:594
Downloads:62
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:29.06.2023

Secondary language

Language:English
Title:Rational involutions : magistrsko delo
Abstract:In this master thesis we obtain two-dimensional rational involutions using methods in computational commutative algebra. The first result we present are all two-dimensional rational involutions which have in the nominator and the denominator polynomials of degree one, whereas the second result are all two-dimensional rational involutions which have in the nominator and denominator polynomials of degree two. All the theory that is used in order to find all such involutions is described in this thesis, as well as all the algorithms which helped us find the solutions.
Keywords:rational involutions, ideal, groebner basis, affine variety, polynomials


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