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Abstract Let I be a height two perfect ideal with a linear presentation matrix in a polynomial ring R = k [ x , y , z ] . Assume… Click to show full abstract
Abstract Let I be a height two perfect ideal with a linear presentation matrix in a polynomial ring R = k [ x , y , z ] . Assume furthermore that after modulo an ideal generated by two variables, the presentation matrix has rank one. We describe the defining ideal of the Rees algebra R ( I ) explicitly and we show that R ( I ) is Cohen–Macaulay.
Keywords:
three variables;
ideals three;
presented ideals;
linearly presented;
algebras linearly;
rees algebras
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!