Additive total

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SUM.

Last seen on: USA Today Crossword – Dec 10 2019

Random information on the term “SUM”:

In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces, the free product of groups, and the direct sum of modules and vector spaces. The coproduct of a family of objects is essentially the “least specific” object to which each object in the family admits a morphism. It is the category-theoretic dual notion to the categorical product, which means the definition is the same as the product but with all arrows reversed. Despite this seemingly innocuous change in the name and notation, coproducts can be and typically are dramatically different from products.

Let C be a category and let X1 and X2 be objects of C. An object is called the coproduct of X1 and X2, written X1 ∐ X2 or X1 ⊕ X2, or sometimes simply X1 + X2, if there exist morphisms i1 : X1 → X1 ∐ X2 and i2 : X2 → X1 ∐ X2 satisfying the following universal property: for any object Y and any morphisms f1 : X1 → Y and f2 : X2 → Y, there exists a unique morphism f : X1 ∐ X2 → Y such that f1 = f ∘ i1 and f2 = f ∘ i2. That is, the following diagram commutes:

SUM on Wikipedia