文章基本信息

标题：Symmetric Monoidal Structure with Local Character is a Property
本地全文：下载
作者：Stefano Gogioso ; Dan Marsden ; Bob Coecke 等
期刊名称：Electronic Proceedings in Theoretical Computer Science
电子版ISSN：2075-2180
出版年度：2019
卷号：287
页码：179-190
DOI：10.4204/EPTCS.287.10
语种：English
出版社：Open Publishing Association
摘要：In previous work we proved that, for categories of free finite-dimensional modules over a commutative semiring, linear compact-closed symmetric monoidal structure is a property, rather than a structure. That is, if there is such a structure, then it is uniquely defined (up to monoidal equivalence). Here we provide a novel unifying category-theoretic notion of symmetric monoidal structure with local character, which we prove to be a property for a much broader spectrum of categorical examples, including the infinite-dimensional case of relations over a quantale and the non-free case of finitely generated modules over a principal ideal domain.