It is well known that a polynomial f(X) over a commutative ring R with identity is nilpotent if and only if each coefficient of f(X) is nilpotent; and that f(X) is a zero divisor in R[ X ] if and only ...

The purpose of this paper is to study factorization in commutative rings with zero divisors with particular emphasis on how the theory of factorization in integral domains is similar to and different ...