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University of Gothenburg
Algebraic Number Theory
Algebraic number theory is the part of number theory that uses methods from algebra to answer questions about integers in general and number fields in particular. The subject has inspired the Langlands Program, which won the Abel Prize, and is fundamental to parts of algebraic geometry. An important concept is algeb…
- Higher education
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- 17 January 2028
- GÖTEBORG
- Information unavailable
- 50 %
Overview
Algebraic number theory is the part of number theory that uses methods from algebra to answer questions about integers in general and number fields in particular. The subject has inspired the Langlands Program, which won the Abel Prize, and is fundamental to parts of algebraic geometry. An important concept is algebraic integers, which concern the relationship between ordinary integers and rational numbers. But in most number fields, unique factorization of integers as a product of primes does not work. In this course you will study algebraic integers and fractional ideals which work as "ideal numbers" in number fields. You will also learn how different factorization of ideals and integers can be.
Admission scores
Entry requirements
General entry requirements and the equivalent of 90credits in mathematics and basic Galois theory equivalent to parts of the course MMA310 Galois Theory. In Galois theory, the requirements are: knowledge of separable field extensions, the fundamental theorem of Galois theory, the existence of the algebraic extension of the rational numbers, and the embedding of number fields therein.
The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.
Source, measure and data quality
- Source
- Skolverket Susa-navet
- Period
- 2028-01-17
- Measure
- Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
- Population
- Education offering e.uoh.gu.mma350.17001.20281
- Last checked
- 2026-09-23T10:36:59.285029+00:00
- Limitation
- Antagningsdata does not map GY11 and GY25. General and specific conditions are not separated without structured source data.
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About the provider
Sources and data quality
Education facts for the selected offering come from Skolverket Susa-navet.
Retrieved . Published . Times are shown in Swedish local time.
Source identity and publication version
- Publication version
- 8e217193-f5fa-4778-b085-a4521fd03e8d
- Education identity in the source
- i.uoh.gu.mma350.17001.20281
- Offering identity in the source
- e.uoh.gu.mma350.17001.20281
- Education-form source code
- HS
- Education code in the source
- MMA350
- Change time according to the source
- 2026-08-17T09:19:08
The provider, education and education offering are separate identities. Application information should be checked on the official website. Supplementary statistics have not been obtained from this source.