ALMOST BEZOUT DOMAINS .2.

[摘要] This paper is a continuation of the investigation of almost Bezout domains (for a, b is-an-element-of R - {0}, there exists an n greater-than-or-equal-to 1 with (a(n), b(n)) principal) begun by Zafrullah and the first author. We show that a nearly Bezout domain (for each nonzero finitely generated ideal I of R, there exists an n greater-than-or-equal-to 1 so that the ideal I(n) = ({i(n)/i is-an-element-of I}) is principal) is almost Bezout and give an example of an almost Bezout domain that is not nearly Bezout. (C) 1994 Academic Press, Inc.

[发布日期] 1994-08-01