Zaheer Ahmad, Tiberiu Dumitrescu and Mihai Epure: A Schreier domain type condition, p.241-247


We study the integral domains $D$ satisfying the following condition: whenever $I \supseteq AB$ with $I$, $A$, $B$ nonzero ideals, there exist ideals $A'\supseteq A$ and $B'\supseteq B$ such that $I=A'B'$.

Key Words: Schreier domain, pseudo-Dedekind domain, Prüfer domain.

2000 Mathematics Subject Classification: Primary: 13A15;
Secondary: 13F05.

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