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The sum of an empty list is the integer 0.
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When summing a possibly empty list of elements from a ring, one may use promote to ensure the result is always in the same ring.
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The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Macaulay2Doc/functions/sum-doc.m2:44:0.