Chapter 6.1, Problem 5E

a.

To determine

To find the conditions on $\mathrm{m}$ and $\mathrm{n}$ for which $(\mathrm{{\rm M}},\cdot )$ an algebraic system and also find whether the operation is commutative.

b.

To determine

To find the conditions on $\mathrm{m}$ and $\mathrm{n}$ for which $(\mathrm{{\rm M}},+)$ an algebraic system and also find whether the operation is commutative.