_:vb6979348 . _:vb6979349 . _:vb6979350 . _:vb6979347 . _:vb6979348 "Modules over a ring are a generalization of abelian groups (which are modules over \\textstyle\\mathbb{Z})."@en . _:vb6979349 "Approximately forty-five years ago K. Morita presented the first major results on equivalences and dualities between categories of modules over a pair of rings."@en . _:vb6979348 "1974, Thomas W. Hungerford, Algebra, Springer, page 168:"@en . _:vb6979350 "One defines in like manner right K-modules and two-sided K-modules. If K is commutative, then every left K-module is automatically equipped with the structure of right and a two-sided K-module."@en . "6" . _:vb6979350 "2012, A. A. Kirillov, Elements of the Theory of Representations, Springer, page 29:"@en . _:vb6979349 "2004, Robert R. Colby, Kent R. Fuller, Equivalence and Duality for Module Categories (with Tilting and Cotilting for Rings), Cambridge University Press, page vii:"@en . _:vb6979347 "(algebra, ring theory) An abelian group equipped with the operation of multiplication by an element of a ring (or another of certain algebraic objects), representing a generalisation of the concept of vector space with scalar multiplication."@en . . .