Support, with “up”

This crossword clue is for the definition: Support, with “up”.
it’s A 30 letters crossword puzzle definition.
Next time, when searching for online help with your puzzle, try using the search term “Support, with “up” crossword” or “Support, with “up” crossword clue”. The possible answerss for Support, with “up” are listed below.

Did you find what you needed?
We hope you did!.

Possible Answers: PROP.

Last seen on: LA Times Crossword 20 Apr 2018, Friday

Random information on the term “PROP”:

In category theory, a PRO is a strict monoidal category whose objects are the natural numbers (including zero), and whose tensor product is given on objects by the addition on numbers. The name PRO is an abbreviation of “PROduct category”.

Some examples of PROs:

New Crossword clues and help App now available in the App Store and Google Play Store!
Crossword clues app Android Crossword clues app iphone iOs

PROBs and PROPs are defined similarly with the additional requirement for the category to be braided, and to have a symmetry (that is, a permutation), respectively. All of the examples above are PROPs, except for the simplex category and BijBraid; the latter is a PROB but not a PROP, and the former is not even a PROB.

An algebra of a PRO P {\displaystyle P} in a monoidal category C {\displaystyle C} is a strict monoidal functor from P {\displaystyle P} to C {\displaystyle C} . Every PRO P {\displaystyle P} and category C {\displaystyle C} give rise to a category A l g P C {\displaystyle \mathrm {Alg} _{P}^{C}} of algebras whose objects are the algebras of P {\displaystyle P} in C {\displaystyle C} and whose morphisms are the natural transformations between them.

PROP on Wikipedia