[數學]one more question on "Groups"

[數學]one more question on "Groups"

jocelyn 於 星期五 十月 06, 2006 3:46 pm


1. Let S1={X^2 : X is real number} and S2= {X^2 : X is real number, X not equal to 0}.
a) Show that the binary operations + ,on real number restrict to binary operations on S1 and on S2.
b) Which of the structures (S1,+), (S2,+),(S1,),(S2,) is a group? For each case for which it isn't a group, explain which group properties fail to hold.

jocelyn
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