most citedThe equality I^2=QI in Buchsbaum rings with multiplicity two

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math.AC2006

Gorenstein rings and irreducible parameter ideals

Thomas Marley, Mark W. Rogers, Hideto Sakurai

Given a Noetherian local ring (R,m) it is shown that there exists an integer l such that R is Gorenstein if and only if some system of parameters contained in m^l generates an irre…

math.AC2003

The equality I^2=QI in Buchsbaum rings

Shiro Goto, Hideto Sakurai

Let A be a Noetherian local ring with the maximal ideal m and d=dimA. Let Q be a parameter ideal in A. Let I=Q:m. The problem of when the equality I^2=QI holds true is explored. Wh…

math.AC2003★ 2 cited

The equality I^2=QI in Buchsbaum rings with multiplicity two

Shiro Goto, Hideto Sakurai

Let A be a Buchsbaum local ring with the maximal ideal m and let e(A) denote the multiplicity of A. Let Q be a parameter ideal in A and put I=Q:m. Then the equality I^2=QI holds tr…