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...

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 ...

Let R be a ring and let FCR be a subring. Suppose that F is a...

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Discrete and Combinatorial Mathematics An Applied Introduction

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Let R be a ring and let FCR be a subring. Suppose that F is a...

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