ven (R†,*) with Va,b E Q, a * b = "+ a + b 2 a. It is * a law of internal composition b. It is * associative c. Has identity * in Q? d. Every element of Q has an inverse?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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Abstract Algebra

ab
Given (IR*,+) with Va, b e Q, a * b = " + a + b
2
a. It is * a law of internal composition
b. It is * associative
c. Has identity * in Q?
d. Every element of Q has an inverse?
Transcribed Image Text:ab Given (IR*,+) with Va, b e Q, a * b = " + a + b 2 a. It is * a law of internal composition b. It is * associative c. Has identity * in Q? d. Every element of Q has an inverse?
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