1.Show that which of these relations on the set of all functions on Z→Z are equivalencerelations?(a) R = {(S,8)|S (1) –g(1)}(b) R = {(f,g)|f (0) = g (0) or f(1)=g(1)}

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Answered: Show that which of these relations on…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....

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Show that which of these relations on the set of all functions on Z-→Z are equivalence relations? (a) R = {(f,g)|f(1)= g(1)} (b) R = {(f,g)|f (0) = g (0) or f(1)=g(!)}