A Schreier domain type condition II

2011/12/06 by Zaheer Ahmad, Tiberiu Dumitrescu, Ahmad, Zaheer +3
Mathematics · #13A15 (Primary) 13F05 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A15 #msc:13F05

paper · pdf · doi:10.48550/arxiv.1112.1236

11 pages

arxiv created 2011/12/06 · arxiv updated 2011/12/07

Abstract

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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