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Module (mathematics)

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In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a (not necessarily commutative) ring. The concept of a module also generalizes the notion of an abelian group, since the abelian groups are exactly the modules over the ring of integers.

Module (mathematics) - Wikipedia Jump to content From Wikipedia, the free encyclopedia Generalization of vector spaces from fields to rings This article includes a list of general references but lacks corresponding inline citations . Please help improve this article by introducing more precise citations. ( May 2015 ) ( Learn how and when to remove this message ) Algebraic structure → Ring theory Ring theory Basic concepts Rings • Subrings • Ideal • Quotient ring • Fractional ideal • Total ring of fractions • Product of rings • Free product of associative algebras • Tensor product of algebras R

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