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Consider the following binary operations on R: :RXR R ((a,b),(c,d)) (a + c,b+d) :RXR R ((a,b),(c,d)) (ac- bd,bc+ad) (a) Show that is commutative. is
Consider the following binary operations on R: :RXR R ((a,b),(c,d)) (a + c,b+d) :RXR R ((a,b),(c,d)) (ac- bd,bc+ad) (a) Show that is commutative. is associative. (b) Show that (c) Show that is distributive over . (d) Show that there is a neutral element for >.
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Solution Consider the following binary operations on R2 R2 x R2 R2 abcd acbd R2 x R2 R2 abcd ac bdbc ad a Show that is commutative and associative b S...
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A First Course In Abstract Algebra
Authors: John Fraleigh
7th Edition
0201763907, 978-0201763904
