It's likely context-dependent, but what words do you all use for each component in a coproduct? (Or product, but needn't be the same word.)
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summand/factor?
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It's the closest analogy for sums/products of numbers.
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Coproducts can b over a family of objs as well as categories. Summand is a good generalization, though doesn't express disjointness property
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Also "operand" which could work for both.
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Summand sounds like an abbreviation of "sudo command".
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Not, "some command"? As in, "run summand, I don't mind which one; just run it!"?
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