On the set of trace ideals of a Noetherian ring

2021/12/08 by Herzog, Jürgen, Rahimbeigi, Masoomeh · 1 citation
#13C99 #13H05 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.04241

Abstract

We consider trace ideals in Noetherian rings and focus our attention to one-dimensional analytically irreducible local rings. For such rings we classify those Gorenstein rings which admit only a finite number of trace ideals.

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