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초록· 키워드
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The original mixed multiplicity theory considered the class of mixed multiplicities concerning the terms of highest total degree in the Hilbert polynomial. This paper defines a broader class of mixed multiplicities that concern the maximal terms in this polynomial, and gives many results, which are not only general but also more natural than many results in the original mixed multiplicity theory.
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참고문헌 (32)
참고문헌 신청
M. P. Brodmann / 1998 / Local Cohomology: An Algebraic Introduction with Geometric Applications, Cambridge Studies in Advanced Mathematics, 60 / Cambridge University Press
R. Callejas-Bedregal / 2010 / Mixed multiplicities and the minimal number of generator of modules / J. Pure Appl. Algebra 214(9):1642~1653
R. Callejas-Bedregal / 2013 / Multiplicities for arbitrary modules and reduction / Rocky Mountain J. Math. 43(4):1077~1113
L. V. Dinh / 2014 / On some superficial sequences / Southeast Asian Bull. Math. 38(6):803~811
M. Herrmann / 1997 / Reduction numbers and multiplicities of multigraded structures / J. Algebra 197(2):311~341
R. Callejas-Bedregal / 2010 / Mixed multiplicities and the minimal number of generator of modules / J. Pure Appl. Algebra 214(9):1642~1653
R. Callejas-Bedregal / 2013 / Multiplicities for arbitrary modules and reduction / Rocky Mountain J. Math. 43(4):1077~1113
L. V. Dinh / 2014 / On some superficial sequences / Southeast Asian Bull. Math. 38(6):803~811
M. Herrmann / 1997 / Reduction numbers and multiplicities of multigraded structures / J. Algebra 197(2):311~341
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