Lecture

Fermat's Equation: Integral Solutions and Gaussian Integers

Related lectures (34)
Class Number Formula
Explores the Class Number Formula in number theory, focusing on Lemmas, Proofs, and a significant theorem.
Integrity in Algebra
Explores the properties of commutative rings and integral domains in algebra.
Factorisation in Principal Ideal Domains
Explores factorisation in Principal Ideal Domains and the properties of prime numbers.
Localization in Algebra
Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.
Proof of Lagrange Theorem
Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Dimension theory of rings
Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.
Classification of Finite Abelian Groups
Covers the classification theorem for finite abelian groups and introduces rings, including zero divisors and domains.
Additivity of Dimension & Height
Explores the additivity of dimension and height in a finitely generated k-algebra domain, showcasing its applications and implications.
Diffie-Hellman and ElGamal Cryptosystems
Explores Diffie-Hellman key exchange, ElGamal cryptosystem, and their security applications in cryptography.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.