The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two
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概要
- 論文の詳細を見る
Let A be a Buchsbaum local ring with the maximal ideal \mathfrak{m} and let e(A) denote the multiplicity of A. Let Q be a parameter ideal in A and put I=Q:\mathfrak{m}. Then the equality I<SUP>2</SUP>=QI holds true, if e(A)=2 and depth A>0. The assertion is no longer true, unless e(A)=2$. Counterexamples are given.
- 社団法人 日本数学会の論文
- 2004-10-01
著者
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GOTO Shiro
Department of Mathematics School of Science and Technology Meiji University
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Goto Shiro
Department Of Mathematic School Of Science And Technology Meiji University
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SAKURAI Hideto
Department of Mathematics School of Science and Technology Meiji University
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