Tags
Ring-Theory
Sep 11, 2021
Abstract Algebra
70 min readAbstract Algebra (6): Polynomial Rings — Factorization and Unique Decomposition
The division algorithm, irreducibility tests, and the climb from Z to Z[x] to Q[x] — understanding when and why unique factorization holds.
Sep 9, 2021
Abstract Algebra
68 min readAbstract Algebra (5): Rings and Ideals — When Multiplication Enters the Picture
Adding multiplication to the mix: rings, integral domains, ideals, and quotient rings — the algebraic structures behind number theory and polynomial arithmetic.