Integrally closed rings which are Prüfer: …
2017-9-8 · AbstractLet R be a commutative ring with zero divisors. It is well known that if R is integrally closed, then R is a Prüfer domain if and only if there is an integer n > 1 such that, for all a,b∈R,(a,b)n=(an,bn). We soften this result for commutative rings with zero divisors by proving that this integer n does not have to work for all a,b∈R.
