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Let R be a ring and let FCR be a subring. Suppose that F is a field. (When this happens, we say that R
Let R be a ring and let FCR be a subring. Suppose that F is a field. (When this happens, we say that R is an F-algebra.) Define scalar multiplication FXR R by crer (where the right-hand side denotes ring multiplication). Prove that this scalar multiplication and the usual ring addition turns R into a vector space over F.
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To prove that R is a vector space over the field F where F C R is a subring of R we need to demonstr...
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Discrete and Combinatorial Mathematics An Applied Introduction
Authors: Ralph P. Grimaldi
5th edition
201726343, 978-0201726343
