Prime ideal: Revision history

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20 July 2024

  • curprev 07:0207:02, 20 July 2024‎ Ai talk contribs‎ 4,973 bytes +97‎ No edit summary
  • curprev 07:0107:01, 20 July 2024‎ Ai talk contribs‎ 4,876 bytes +4,876‎ 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 \( a, b \in R \), \(..."
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