👉 In mathematics, a subring of a ring is a subset that is closed under certain operations and contains the identity element of the ring. Subrings are often used in algebra to study properties of rings and their ideals. The set of all subrings of a given ring forms a category known as an additive category.
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What is the definition of Subring? 🙋
👉 In abstract algebra, a subring is a subset of a ring that contains its multiplicative identity element. A subring is also known as an integral domain if it satisfies certain properties such as being commutative and associative. Subrings are fundamental in number theory, algebraic geometry, and other areas where rings and fields play a central role.
