Glossary of ring theory

Related lectures (25)

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Introduces sub-rings and morphisms in ring theory, emphasizing stability by multiplication.

Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.

Discusses irreducible factors in rings and the properties of Noetherian rings.

Explores Fermat's Theorem, factorization of integers, properties of Z[i], and Hurwitz quaternions.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Explores modules over a ring, injective morphisms, isomorphisms, and canonical groups.

Covers commutative ring morphisms, subrings, and injective ring morphisms.

Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.

Explores Diffie-Hellman key exchange, ElGamal cryptosystem, and their security applications in cryptography.

Covers non-degenerate integral quadratic lattices and adèles, including their properties and definitions.