Minimal prime ideal

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

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

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

Explores projective algebraic sets, prime ideals, irreducible sets, cones, and Nullstellensatz theorem.

Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.

Covers regularity and integrality in local Noether rings and affine rings.

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

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