Almost Splitting Sets and AGCD Domains
نویسندگان
چکیده
منابع مشابه
Almost Splitting Sets and Agcd Domains
Let D be an integral domain. A multiplicative set S of D is an almost splitting set if for each 0 6= d ∈ D, there exists an n = n(d) with dn = st where s ∈ S and t is v-coprime to each element of S. An integral domain D is an almost GCD (AGCD) domain if for every x, y ∈ D, there exists a positive integer n = n(x, y) such that xnD ∩ ynD is a principal ideal. We prove that the polynomial ring D[X...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2004
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120027857