commutative tensor functor of modules

1. Definition / Proposition

Let 20230812-tensoring_functor_6130b692b4d58a44d70e323b9432701598ebebee.svg be a commutative ring and 20230812-tensoring_functor_612a3d41795adef416750fa250ce585eadd8340d.svg an 20230812-tensoring_functor_d9fed023a9d07263c522f5c4dbb780117ad7ad02.svg-module. Then the tensoring functor is defined as covariant functor for the category of Modules 20230812-tensoring_functor_4330120c07170a18d3b77f04342a3c8e66b2d1f8.svg

20230812-tensoring_functor_f0b962d25bd5653466890d1b8f1f7111adb4c4e8.svg

see also:

2. Proof

20230812-tensoring_functor_5960b059e3db14a993af110f3fc8d105cdea51ec.svg

2.1. commut

Date: nil

Author: Anton Zakrewski

Created: 2024-10-13 So 15:51