direct sum

English

Noun

direct sum (plural direct sums)

  1. (mathematics) coproduct in some categories, like abelian groups, topological spaces or modules
  2. (linear algebra) A linear sum in which the intersection of the summands has dimension zero. Equivalently, a linear sum of two subspaces, any vector of which can be expressed uniquely as a sum of two vectors: one vector belonging to the first subspace, and the other vector belonging to the second subspace.

Translations

Further reading
This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.