A Stable Property of Borel Type Ideals

REFERENCES

• Aramova , A. , Herzog , J. ( 1997 ). p-Borel principal ideals . Illinois J. Math. 41 ( 1 ): 103 – 121 .
   Web of Science ®Google Scholar
• Bayer , D. , Stillman , M. ( 1987 ). A criterion for detecting m-regularity . Invent. Math. 87 : 1 – 11 .
   Web of Science ®Google Scholar
• Caviglia , G. , Sbarra , E. ( 2005 ). Characteristic-free bounds for the Castelnuovol Mumford regularity . Compos. Math. 141 ( 6 ): 1365 – 1373 .
   Web of Science ®Google Scholar
• Cimpoeaş , M. ( 2006 ). A generalisation of Pardue's formula . Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 49 ( 97 ): 4 .
   Google Scholar
• Eisenbud , D. ( 1995 ). Commutative Algebra . New York : Springer-Verlag .
   Google Scholar
• Eisenbud , D. , Reeves , A. , Totaro , B. ( 1994 ). Initial ideals, veronese subrings and rates of algebras . Adv. Math. 109 : 168 – 187 .
   Web of Science ®Google Scholar
• Herzog , J. , Popescu , D. ( 2001 ). On the regularity of p-Borel ideals . Proc. AMS 129 ( 9 ): 2563 – 2570 .
   Web of Science ®Google Scholar
• Herzog , J. , Popescu , D. , Vladoiu , M. ( 2003 ). On the Ext-modules of ideals of Borel type . Contemporary Math. 331 : 171 – 186 .
   Google Scholar
• Imran , A. , Sarfraz , A. ( 2006 ). Regularity of ideals of Borel type is linearly bounded . Preprint .
   Google Scholar
• Communicated by I. Swanson.
   Google Scholar