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

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

2003-06-09

arxiv.org/abs/math/0306146v1

Mathematics

Commutative Algebra

13 pages

Scientific paper

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 true, if e(A)=2 and depthA>0. The assertion is no longer
true, unless e(A)=2. Counterexamples are given.

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