Answer to Question #11320 in Discrete Mathematics for nitin mishra
We should verify
the following two properties:
1) a+b belongs to E for all a,b from
Let a,b belong to E, so a and b a positive even integers, then so is
their sum a+b, i.e. a+b belongs to E
2) Operation + is
associative, i.e. (a+b)+c = a+(b+c)
This follows from the associativity
of addition operation "+" for all numbers.
Thus E is a semigroup.
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