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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 $k[X_1, X_2,\ldots, X_d]$ 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 $A$.
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참고문헌 (32)
참고문헌 신청
M. F. Atiyah / 1969 / Introduction to Commutative Algebra / Addison-Wesley Publishing Co
W. Bruns / 1993 / Cohen-Macaulay Rings / Cambridge University Press
E. Boda / 2004 / A note on the computation of multiplicities / Beitrage Algebra Geom 45(1):183~190
R. Callejas-Bedregal / 2010 / Mixed multiplicities and the minimal number of generator of modules / Journal of Pure and Applied Algebra 214(9):1642~1653
L. V. Dinh / 2014 / On some superficial sequences / Southeast Asian Bull. Math 38(6):803~811
W. Bruns / 1993 / Cohen-Macaulay Rings / Cambridge University Press
E. Boda / 2004 / A note on the computation of multiplicities / Beitrage Algebra Geom 45(1):183~190
R. Callejas-Bedregal / 2010 / Mixed multiplicities and the minimal number of generator of modules / Journal of Pure and Applied Algebra 214(9):1642~1653
L. V. Dinh / 2014 / On some superficial sequences / Southeast Asian Bull. Math 38(6):803~811
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