Please edit the given paragraph to have better cohesiveness:
Unlike the associative case, elements with a (two-sided) multiplicative inverse might also be a zero divisor. All non-zero elements of the sedenions have a two-sided inverse, but some of them are also zero divisors.
Unlike the associative case, elements with a (two-sided) multiplicative inverse might also be a zero divisor. For example, all non-zero elements of the sedenions have a two-sided inverse, but some of them are also zero divisors.