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The Vector Space Axiom 1v = v

Published online by Cambridge University Press:  03 November 2016

Hans Liebeck
Hans Liebeck*
Affiliation:
Department of Mathematics, University of Keele, Staffs. ST5 5BG
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Extract

Some students on first meeting the axioms of a vector space are puzzled by the inclusion of the scalar unit law: 1v = v for all vectors v. It is the purpose of this note to discuss the consequences of omitting this law from the list of axioms.

Type
Research Article
Information
The Mathematical Gazette , Volume 56 , Issue 395 , February 1972 , pp. 30 - 33
Copyright
Copyright © Mathematical Association 1972

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