This article needs additional citations for
verification. (January 2013) |
In algebra, a primordial element is a particular kind of a vector in a vector space.
Let be a vector space over a field and let be an -indexed basis of vectors for By the definition of a basis, every vector can be expressed uniquely as for some -indexed family of scalars where all but finitely many are zero. Let denote the set of all indices for which the expression of has a nonzero coefficient. Given a subspace of a nonzero vector is said to be primordial if it has both of the following two properties: [1]
This article needs additional citations for
verification. (January 2013) |
In algebra, a primordial element is a particular kind of a vector in a vector space.
Let be a vector space over a field and let be an -indexed basis of vectors for By the definition of a basis, every vector can be expressed uniquely as for some -indexed family of scalars where all but finitely many are zero. Let denote the set of all indices for which the expression of has a nonzero coefficient. Given a subspace of a nonzero vector is said to be primordial if it has both of the following two properties: [1]