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arxiv: 1112.0132 · v1 · pith:3DA4H7Z3new · submitted 2011-12-01 · 🧮 math.AC

A Schreier Domain Type Condition

classification 🧮 math.AC
keywords conditionidealsdomaindomainsexistfollowingintegralnonzero
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We study the integral domains D satisfying the following condition: whenever I >AB with I,A,B nonzero ideals, there exist ideals A'>A and B'>B such that I=A'B'.

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