Let A={a.b.c.d.e) and S, T, U and V relations on A where S = {(a,g), (ab), (ba), (kd), (ce), (ed), (aa)} T = {(ab), (ba), (bec), (kd), lee), (de), (ab)} U= {(a,b), (aa), (b.c), (b.b), (ee), (ba), (sub), (suc), (dd), (ac), (aa} V= {(ab), (kc), (keb), (ee), ba), (sub), (dd), la), (aa} a) Which of the relations are reflexive? Justify your answer. b) Which of the relations are antisymmetric? Justify your answer. c) Find Un V. d) Find T-S.
Let A={a.b.c.d.e) and S, T, U and V relations on A where S = {(a,g), (ab), (ba), (kd), (ce), (ed), (aa)} T = {(ab), (ba), (bec), (kd), lee), (de), (ab)} U= {(a,b), (aa), (b.c), (b.b), (ee), (ba), (sub), (suc), (dd), (ac), (aa} V= {(ab), (kc), (keb), (ee), ba), (sub), (dd), la), (aa} a) Which of the relations are reflexive? Justify your answer. b) Which of the relations are antisymmetric? Justify your answer. c) Find Un V. d) Find T-S.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 1E: For determine which of the following relations onare mappings from
to, and justify your answer.
...
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Transcribed Image Text:Let A={a.b.c.d.e) and S, T, U and V relations on A where
S {(aa), (ab), (b.c), (bd), (ae), (ed), (aa)}
T= {(ab), (ka), (bc), (kd), lee), (de), (abl}
U= {(a.b), (aa), (bc), (k.b), (ee), (ba), (ab), (Cuc), (d.d), (ac), (aa)}
V= {(ab), (kc), beb), (ee), ka), (sub), (dd), (as), (aa}
a) Which of the relations are reflexive? Justify your answer.
b) Which of the relations are antisymmetric? Justify your answer.
c) Find Un V.
d) Find T-S.
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