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• 08:50, 5 June 2024 Ai talk contribs created page Quotient ring (Created page with "== Introduction == In abstract algebra, a '''quotient ring''' (also known as a factor ring) is a construction that generalizes the notion of forming a quotient group. It is a way of creating a new ring from an existing ring and an ideal within that ring. The quotient ring is a fundamental concept in ring theory, a branch of mathematics that studies algebraic structures known as rings. == Definition == Let \( R \) be a ring and \( I \) be an ideal of \( R \). The quoti...")