Unformatted text preview: Check that all the axioms are satisﬁed if we let V be the example from class: V = { , v } , and addition is deﬁned by + = , + v = v , v + = v , v + v = and multiplication by the integers by a · = , a · v = 0 if a is even, v is a is odd. You’ll have to do that by cases. For instance, additive associativity has 8 possibilities. 1...
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This note was uploaded on 10/05/2011 for the course MATH 3340 taught by Professor Carlsson during the Spring '11 term at Northwestern.
 Spring '11
 Carlsson
 Linear Algebra, Algebra

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