Abstract
Endomorphisms and automorphisms of vector spaces and algebras over a field are introduced and the notion of the endomorphism algebra of a vector space is explored. The importance of idempotent elements of this algebra (namely, projections) is emphasized. The group of automorphisms is also considered. The notion of invariance of a subspace under an endomorphism is introduced.
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© 2012 Springer Science+Business Media B.V.
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Golan, J.S. (2012). The Endomorphism Algebra of a Vector Space. In: The Linear Algebra a Beginning Graduate Student Ought to Know. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2636-9_7
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DOI: https://doi.org/10.1007/978-94-007-2636-9_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2635-2
Online ISBN: 978-94-007-2636-9
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