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Consider the mathematical system with the single element {1} under the operation of multiplication. Answer and...

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Advance Math

Consider the mathematical system with the single element {1}under the operation of multiplication. Answer and explain thefollowing:

a)      Is the system closed?

b)      Does the system have anidentity element?

c)      Does 1 have an inverse?

d)     Doesthe associative property hold?

e)      Does the commutative propertyhold?

f)       Is {1} under theoperation of multiplication a commutative group?

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