Their namesake characteristic is the number of times one must add the multiplicative identity to  itself to get zero. Their extensions are formed when the solution to a polynomial equation is added to
Their namesake characteristic is the number of times one must add the multiplicative identity to  itself to get zero. Their extensions are formed when the solution to a polynomial equation is added to them. Their axioms make them a (*) commutative division algebra. For 10 points— identify these  algebraic structures which satisfy the group axioms and have a commutative multiplication operation with an inverse.
Their namesake characteristic is the number of times one must add the multiplicative identity to  itself to get zero.
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