Abstract
In the study of any algebraic structure there are two concepts that are of paramount importance. The first is that of a substructure (i.e. a subset with the same type of structure), and the second is that of a morphism (i.e. a mapping from one structure to another that is ‘structure-preserving’). So far we have encountered the notion of a substructure for vector spaces; this we called a subspace. In this Chapter we shall consider the notion of a morphism between vector spaces, that is a mapping f from one vector space to another that is ‘structure-preserving’ in the following sense.
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© 1986 T. S. Blyth and E. F. Robertson
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Blyth, T.S., Robertson, E.F. (1986). Linear mappings. In: Essential Student Algebra. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2213-1_6
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DOI: https://doi.org/10.1007/978-94-017-2213-1_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-412-27870-9
Online ISBN: 978-94-017-2213-1
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