ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES

ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES

This paper establishes a formula changing the ring from a Noetherian local ring A of dimension d > 0 containing the residue field k to the polynomial ring in d variables k[X1, X2, ..., Xd] for mixed multiplicities. And as consequences, we get a formula for the multiplicity of Rees rings and formu...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2020, Vol.57 (5), p.1251-1258
Hauptverfasser: Thanh, Truong Thi Hong, Viet, Duong Quoc
Format: Artikel
Sprache:kor
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Zusammenfassung:This paper establishes a formula changing the ring from a Noetherian local ring A of dimension d > 0 containing the residue field k to the polynomial ring in d variables k[X1, X2, ..., Xd] for mixed multiplicities. And as consequences, we get a formula for the multiplicity of Rees rings and formulas for mixed multiplicities and the multiplicity of Rees rings of quotient rings of A by highest dimensional associated prime ideals of A.
ISSN:1015-8634