Using vanishing of graded components of local cohomology modules of the Rees algebra of the normal filtration of an ideal, we give bounds on the normal reduction number. This helps to get necessary and sufficient conditions in Cohen-Macaulay local rings of dimension d >= 3, for the vanishing of the normal Hilbert coefficients (e) over bar (k)(I) for k <= d, in terms of the normal reduction number.
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Inst Politecn Nacl, Escuela Super Fis & Matemat, Dept Math, Mexico City 07300, DF, MexicoInst Politecn Nacl, Escuela Super Fis & Matemat, Dept Math, Mexico City 07300, DF, Mexico
Eduardo Uribe-Paczka, M.
Sarmiento, Eliseo
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Inst Politecn Nacl, Escuela Super Fis & Matemat, Dept Math, Mexico City 07300, DF, MexicoInst Politecn Nacl, Escuela Super Fis & Matemat, Dept Math, Mexico City 07300, DF, Mexico
Sarmiento, Eliseo
Renteria Marquez, Carlos
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Inst Politecn Nacl, Escuela Super Fis & Matemat, Dept Math, Mexico City 07300, DF, MexicoInst Politecn Nacl, Escuela Super Fis & Matemat, Dept Math, Mexico City 07300, DF, Mexico
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CUNY, New York City Coll Technol, Dept Math, Brooklyn, NY 11201 USACUNY, New York City Coll Technol, Dept Math, Brooklyn, NY 11201 USA
Ghezzi, Laura
Goto, Shiro
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Meiji Univ, Sch Sci & Technol, Dept Math, Tama Ku, Kawasaki, Kanagawa 2148571, JapanCUNY, New York City Coll Technol, Dept Math, Brooklyn, NY 11201 USA
Goto, Shiro
Hong, Jooyoun
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So Connecticut State Univ, Dept Math, New Haven, CT 06515 USACUNY, New York City Coll Technol, Dept Math, Brooklyn, NY 11201 USA
Hong, Jooyoun
Vasconcelos, Wolmer V.
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Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USACUNY, New York City Coll Technol, Dept Math, Brooklyn, NY 11201 USA