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Algebraična številska polja z majhnim številom razredov : delo diplomskega seminarja
ID
Ibrahimpašić, Hana
(
Author
),
ID
Moravec, Primož
(
Mentor
)
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Abstract
Algebraična teorija števil s konstrukcijo končne razredne grupe pove, v kakšni meri enolična faktorizacija v algebraičnih številskih poljih ne drži. Za nekatere izmed njih je značilna enolična dolžina faktorizacij posameznega elementa.
Language:
Slovenian
Keywords:
algebraično številsko polje
,
celoštevilski kolobar
,
polfaktorizacijski kolobar
,
praideal
,
razredna grupa
Work type:
Final seminar paper
Typology:
2.11 - Undergraduate Thesis
Organization:
FMF - Faculty of Mathematics and Physics
Year:
2022
PID:
20.500.12556/RUL-140591
UDC:
511
COBISS.SI-ID:
122165251
Publication date in RUL:
16.09.2022
Views:
906
Downloads:
334
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Language:
English
Title:
Algebraic number fields with small class number
Abstract:
Algebraic number theory introduces finite class group in order to determine the extent of factorization’s non-uniqueness in algebraic number fields. Some have a special property of unique factorization length for each element.
Keywords:
algebraic number field
,
ring of integers
,
half factorial domain
,
prime ideal
,
class group
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