  Brewer and Heinzer studied the (integral) domains D having the property that
each proper ideal A of D has a comaximal ideal factorization with some
additional property. They proved that for a domain D, the following are
equivalent: (1) Each proper ideal A of D has a comaximal factorization where
the factors have prime radical (resp. are primary, resp. are prime powers). (2)
The prime spectrum of D is a tree under inclusion and each ideal of D has only
finitely many minimal primes (resp. D is one dimensional and each ideal of D
has only finitely many minimal primes, resp. D is a Dedekind domain). The aim
of this paper is to show that most of the results can be obtained in the setup
of multiplicative lattices.
