Tensor Product as a Universal Object (Category Theory & Module Theory)

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Tensor Product as a Universal Object (Category Theory & Module Theory)的配图
IntroductionIt is quite often to see direct sum or direct product of groups, modules, vector spaces. Indeed, for modules over a ring \(R\), direct products are also direct products of \(R\)-modules as well. On the other hand, the direct sum is a coproduct in the category of \(R\)-modules.But what ab……