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Les Miserables,

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Possible Answers:
PROP.

Last seen on: Daily Boston Globe Crossword Wednesday, 6 December 2023

Random information on the term “PROP”:

In category theory, a branch of mathematics, a PROP is a symmetric strict monoidal category whose objects are the natural numbers n identified with the finite sets { 0 , 1 , … , n − 1 } {\displaystyle \{0,1,\ldots ,n-1\}} and whose tensor product is given on objects by the addition on numbers. Because of “symmetric”, for each n, the symmetric group on n letters is given as a subgroup of the automorphism group of n. The name PROP is an abbreviation of “PROduct and Permutation category”.

The notion was introduced by Adams and MacLane; the topological version of it was later given by Boardman and Vogt. Following them, J. P. May then introduced the term “operad”, which is a particular kind of PROP, for the object which Boardman and Vogt called the “category of operators in standard form”.

There are the following inclusions of full subcategories:

PROP on Wikipedia

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