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Symmetric Monoidal Structure with Local Character is a Property

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 نشر من قبل EPTCS
 تاريخ النشر 2018
  مجال البحث فيزياء
والبحث باللغة English
 تأليف Stefano Gogioso




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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.



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