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Let R be a commutative ring with identity. In [1, p. 29], Bass has shown that if the maximal spectrum of R is noetherian of combinatorial dimension d and if R' is a finite R-algebra, then d +1 defines a stable range for GL(R'). Estes and Ohm in [2] have considered some topics related to Bass's theorem mainly for the case when R'= R. In particular, they prove, for any integer n > 0, the existence of an integral domain D such that the maximal spectrum of D has dimension n and 1 is in the stable range of D. They raise the question of whether there exists a domain D with these properties for which the maximal spectrum of D is noetherian. Our purpose is to give an affirmative answer to this question. If A is an ideal of R then we let J(A) denote the intersection of the collection of maximal ideals of R containing A and J= { ideals A of R I J(A) = A }. We say that R is J-noetherian if the ideals of J satisfy the ascending chain condition. This is equivalent to the statement that the maximal spectrum of R is noetherian. The dimension of the maximal spectrum of R is n provided there is a chain Po t whenever a1, a2, * * *, a,+, are elements of R such that (a,, a2, * , as+8) -R then there exist bl, . . , b.CR such that (a,, a2, .. , a+) = (a,+bjas+j, ... , a8+b8a8+i). We can now state our result as follows.

𝐽-noetherian integral domains with 1 in the stable range