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When coproducts are biproducts

Published online by Cambridge University Press:  19 February 2016

RICHARD GARNER  and
DANIEL SCHÄPPI
RICHARD GARNER
Affiliation:
Department of Mathematics, Macquarie University, NSW 2109, Australia. e-mail: [email protected]
DANIEL SCHÄPPI
Affiliation:
School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH. e-mail: [email protected]
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Abstract

Among monoidal categories with finite coproducts preserved by tensoring on the left, we characterise those with finite biproducts as being precisely those in which the initial object and the coproduct of the unit with itself admit right duals. This generalises Houston's result that any compact closed category with finite coproducts admits biproducts.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 1 , July 2016 , pp. 47 - 51
Copyright
Copyright © Cambridge Philosophical Society 2016 

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References

REFERENCES

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