Suppose E, F are vector spaces and let φ: E → F be a linear mapping. Then the kernel of φ, denoted by ker φ, is the subset of vectors x ϵ E such that φx = 0. It follows from (1.8) and (1.9) that ker φ is a subspace of E.
KeywordsVector Space Exact Sequence Dual Mapping Short Exact Sequence Canonical Projection
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