A quasi-local half-factorial domain with an atomic non-half-factorial integral closure

We construct a half-factorial quasi-local domain R, so that its integral closure R = R[t], where t², t³ ∈ R, is atomic but not half-factorial; R equals the seminormaliza-tion of R. Moreover, R is a quasi-local domain of bounded factorization, and every element in R of zero R-boundary is a unit in R.