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In algebra, a primordial element is a particular kind of a vector in a vector space.
Definition
editLet 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
- is minimal among the sets where and
- for some index
References
edit- ^ Milne, J., Class field theory course notes, updated March 23, 2013, Ch IV, §2.