Browsing NTNU Open by Author "Shultis, Katharine"
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Reducibility of parameter ideals in low powers of the maximal ideal
Shultis, Katharine; Thompson, Peder (Peer reviewed; Journal article, 2021)A commutative noetherian local ring (R, m) is Gorenstein if and only if every parameter ideal of R is irreducible. Although irreducible parameter ideals may exist in non-Gorenstein rings, Marley, Rogers, and Sakurai show ...