Principal ideal ring

Related lectures (31)

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Explores factorisation in Principal Ideal Domains and the properties of prime numbers.

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.

Covers the operations in rings, ideals, classes, and quotient rings.

Explains submodules, generated modules, and ring ideals in module structure.

Covers primary decomposition in Noetherian ideals and unique primary ideals.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.

Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.

Covers the Chinese remainder theorem, polynomial rings, and Euclidean domains among other topics.

Explores the Chinese Remainders Theorem, RSA public-key cryptosystem, bijective properties, and key generation for encryption and decryption.

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