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Gorenstein rings and irreducible parameter ideals |
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| Authors: | Thomas Marley Mark W Rogers Hideto Sakurai |
| Institution: | Department of Mathematics, University of Nebraska, Lincoln, Nebraska 68588-0130 ; Department of Mathematics, Missouri State University, Springfield, Missouri 65897 ; Department of Mathematics, School of Science and Technology, Meiji University, 214-8571, Japan |
| Abstract: | Given a Noetherian local ring  it is shown that there exists an integer  such that  is Gorenstein if and only if some system of parameters contained in  generates an irreducible ideal. We obtain as a corollary that  is Gorenstein if and only if every power of the maximal ideal contains an irreducible parameter ideal. |
| Keywords: | Gorenstein system of parameters irreducible ideal |
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