A formal sum of elements of a given set B is an element of the free abelian group with basis B. In other words, given a set B, let G be the unique (up to isomorphism) free abelian group with basis B. For elements and (where there must be an such that for all ),
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Famous quotes containing the words formal and/or sum:
“Then the justice,
In fair round belly with good capon lined,
With eyes severe and beard of formal cut,
Full of wise saws and modern instances;
And so he plays his part.”
—William Shakespeare (1564–1616)
“The sum of the whole matter is this, that our civilization cannot survive materially unless it be redeemed spiritually.”
—Woodrow Wilson (1856–1924)