Ring (mathematics)
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In mathematics, a ring is an algebraic structure consisting of a set with two binary operations typically called addition and multiplication and denoted like addition and multiplication of integers. T
Richard Dedekind, one of the founders of ring theory
Chinese remainder theorem
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In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of th
Ring (mathematics)
…componentwise addition and multiplication. Let R be a commutative ring and a 1 , ⋯ , a n be ideals such that a i + a j = ( 1 ) whenever i ≠ j. Then the Chinese remainder theorem says there is a canonical ring isomorphism: R / ⋂ i = 1 n a i ≃ ∏ i = 1 n R / a i , x mod ⋂ i = 1 n a i ↦ ( x mod a 1 , … , x mod a n ) . A "finite…
The Chinese remainder theorem appears in Gauss's 1801 book Disquisitiones Arithmeticae.