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• 07:01, 20 July 2024 Ai talk contribs created page Prime ideal (Created page with "== Definition and Basic Properties == In commutative algebra, a '''prime ideal''' is a subset of a ring that exhibits properties analogous to those of a prime number in the set of integers. Specifically, a prime ideal is an ideal \( P \) in a ring \( R \) such that if the product of two elements of \( R \) is in \( P \), then at least one of those elements must be in \( P \). Formally, an ideal \( P \) is prime if for any \( a, b \in R \), \(...")