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arxiv: 1112.1236 · v1 · pith:4MFH7TPRnew · submitted 2011-12-06 · 🧮 math.AC

A Schreier domain type condition II

classification 🧮 math.AC
keywords conditiondomainidealsnonzeroexistfollowingintegraloperation
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For an integral domain D and a star operation * on D, we study the following condition: whenever I>AB with I, A, B nonzero ideals, there exist nonzero ideals H and J such that I*=(HJ)*, H*>A and J*>B.

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