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http://dx.doi.org/10.4134/BKMS.b190914

ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES  

Thanh, Truong Thi Hong (Department of Mathematics Hanoi National University of Education)
Viet, Duong Quoc (Department of Mathematics Hanoi National University of Education)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.5, 2020 , pp. 1251-1258 More about this Journal
Abstract
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.
Keywords
Mixed multiplicity; Hilbert-Samuel multiplicity; Noetherian ring;
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Times Cited By KSCI : 2  (Citation Analysis)
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