科研之友
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摘要
As an extension of the (pre)-Schreier domains studied by Cohn, McAdam, Rush, and Zafrullah, we study the class of integral domains D characterized by the property that whenever I superset of J(1)J(2) with I, J(1), J(2) invertible ideals of D, there exist an integer k = 1 and ideals I-1, I-2 such that I-k = I1I2, I-1 superset of J(1)(k), I-2 superset of J(2)(k). The quasi-Schreier domains and the almost-Schreier domains, recently introduced by the second author, Moldovan and Khalid, satisfy this property.
- 出版日期2013-5-20
