Question
Let be a non-empty set and let * be a binary operation on (the power set of set ) defined by for all Show that is the identity element for * on .
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Practice questions from similar books
Question 1
Let
be a binary operation on N given by
for all
Find
(ii) Is * commutative?
Is * associative?
Find the identity element in N
Which element of N are invertible? Find them.Question 2
Let A be a set having more than one element. Let * be a binary operation on A defined by for all Is commutative or associative on A?Question Text | Let
be a non-empty set and let * be a binary operation on
(the power set of set
) defined by
for all
Show that
is the identity element for * on
. |