A Note on Strict Commutativity of a Monoidal Product
Pure and Applied Mathematics Journal
Volume 5, Issue 5, October 2016, Pages: 155-159
Received: Aug. 25, 2016; Accepted: Sep. 5, 2016; Published: Sep. 21, 2016
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Author
Youngsoo Kim, Department of Mathematics, Tuskegee University, Tuskegee, USA
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Abstract
It is well known that a monoidal category is (monoidally) equivalent to a strict monoidal category that is a monoidal category with a strictly associative product. In this article, we discuss strict commutativity and prove a necessary and sufficient condition for a symmetric monoidal category to be equivalent to another symmetric monoidal category with a strictly commutative monoidal product.
Keywords
Symmetric Monoidal Category, Strict Commutativity, Monoidal Product
To cite this article
Youngsoo Kim, A Note on Strict Commutativity of a Monoidal Product, Pure and Applied Mathematics Journal. Vol. 5, No. 5, 2016, pp. 155-159. doi: 10.11648/j.pamj.20160505.13
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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