WANG Yan-bo 1 , JIANG Guang-feng 2 (1.Institute of Communications Engineering,PLA University of Science and Technology,Nanjing 210016,China; 2.Department of Mathematics and Information Science,Beijing University of Ch...WANG Yan-bo 1 , JIANG Guang-feng 2 (1.Institute of Communications Engineering,PLA University of Science and Technology,Nanjing 210016,China; 2.Department of Mathematics and Information Science,Beijing University of Chemical Technology,Beijing 100029,P.R.China)展开更多
In this paper we characterize all the lexsegment ideals which are normally torsion-free. This will provide a large class of normally torsion-free monomial ideals which are not square-free. Our characterization is give...In this paper we characterize all the lexsegment ideals which are normally torsion-free. This will provide a large class of normally torsion-free monomial ideals which are not square-free. Our characterization is given in terms of the ends of the lexsegment. We also prove that, for lexsegment ideals, the property being normally torsion-free is equivalent to the property of the depth function being constant.展开更多
基金The research of the second author was supported by BUCTNSFC( 199871974) The second named author is the correspondent
文摘WANG Yan-bo 1 , JIANG Guang-feng 2 (1.Institute of Communications Engineering,PLA University of Science and Technology,Nanjing 210016,China; 2.Department of Mathematics and Information Science,Beijing University of Chemical Technology,Beijing 100029,P.R.China)
文摘In this paper we characterize all the lexsegment ideals which are normally torsion-free. This will provide a large class of normally torsion-free monomial ideals which are not square-free. Our characterization is given in terms of the ends of the lexsegment. We also prove that, for lexsegment ideals, the property being normally torsion-free is equivalent to the property of the depth function being constant.
