Chinese remainder theorem/Advanced: Difference between revisions
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imported>Barry R. Smith (New page: The '''Chinese remainder theorem''' is the name of a theorem in abstract algebra, which, in its most general formulation, provides information about the structure of [[commutative ring...) |
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The '''Chinese remainder theorem''' is the name of a theorem in [[abstract algebra]], which, in its most general formulation, provides information about the structure of [[commutative ring]]s. Its most common manifestation is that where the ring is the integers, in which case it is a theorem in [[modular arithmetic]] (see the main page for a discussion in this simpler context). | The '''Chinese remainder theorem''' is the name of a theorem in [[abstract algebra]], which, in its most general formulation, provides information about the structure of [[commutative ring]]s. Its most common manifestation is that where the ring is the integers, in which case it is a theorem in [[modular arithmetic]] (see the main page for a discussion in this simpler context). | ||
Latest revision as of 12:04, 18 November 2008
The Chinese remainder theorem is the name of a theorem in abstract algebra, which, in its most general formulation, provides information about the structure of commutative rings. Its most common manifestation is that where the ring is the integers, in which case it is a theorem in modular arithmetic (see the main page for a discussion in this simpler context).