Tensorprodukt definition through universal arrow/Comma category

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i am a beginner in category theory. I like the CoLimit/Limit definition through universal arrows but i am still confused how to relate that thought with the tensor-product definition.

In CWM i found a example of the tensor-product for rings defined through the use of the colimit definition through universal arrows and i wanted to ask if you could give me the example of the tensor-product R-module definition through universal arrows or the reason why this is not working...