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Modules

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Part of the Graduate Texts in Mathematics book series (GTM,volume 242)

“Module” is a nineteenth century name for abelian groups; an abelian group on which a ring R acts thus became an R-module. The usefulness of this concept was quickly appreciated; the major results of this chapter already appear in van der Waerden’s Moderne Algebra [1930]. Modules have gained further importance with the development of homological algebra.

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(2007). Modules. In: Abstract Algebra. Graduate Texts in Mathematics, vol 242. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71568-1_8

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