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 ),
Read more about this topic: Free Abelian Group
Famous quotes containing the words formal and/or sum:
“There must be a profound recognition that parents are the first teachers and that education begins before formal schooling and is deeply rooted in the values, traditions, and norms of family and culture.”
—Sara Lawrence Lightfoot (20th century)
“Nor sequent centuries could hit
Orbit and sum of SHAKSPEARE’s wit.
The men who lived with him became
Poets, for the air was fame.”
—Ralph Waldo Emerson (1803–1882)