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Derived from
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20410520 AL420 - ALGEBRAIC THEORY OF NUMBERS in Mathematics LM-40 BARROERO FABRIZIO
(syllabus)
Ring of integers in number fields.
Unique factorisation of ideals in the rings of integers.
Class group.
Group of units.
Fermat's last Theorem for regular primes
Local fields.
(reference books)
Notes by the lecturer.
Marcus, D. Number fields, 3rd Ed Springer-Verlag. 1977.
Samuel, P. Théorie algébrique des nombres, Hermann, Paris. 1971.
Schoof, R. Algebraic Number Theory, dispense Università di Roma Tor Vergata, 2003.
Milne, J. Algebraic Number Theory, Lecture Notes, 2017.
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