The authors construct an intrinsic bilinear product in semi-abelian categories via cosmash products in nilpotent reflections that recovers classical tensors for abelian objects and extends Ganea's exact sequence categorically.
50 BO SHAN DEV AL, MANFRED HARTL, AND TIM V AN DER LINDEN [BB17] C
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Intrinsic tensor products and a Ganea-type extension of the five-term exact sequence
The authors construct an intrinsic bilinear product in semi-abelian categories via cosmash products in nilpotent reflections that recovers classical tensors for abelian objects and extends Ganea's exact sequence categorically.