Tensor product of modules: Difference between revisions

Revision as of 02:11, 9 January 2022

Revision as of 14:46, 1 March 2022

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The resulting map is surjective since pure tensors {{nowrap|''x'' ⊗ ''y''}} generate the whole module. In particular, taking ''R'' to be <math>\Z</math> this shows every tensor product of modules is a quotient of a tensor product of abelian groups.

See also: {{sectionsee linkalso|Tensor product|#Tensor product of linear maps}}.

===Several modules===