کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414262 1630462 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Degrees of multiplicity functions for equimultiple ideals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Degrees of multiplicity functions for equimultiple ideals
چکیده انگلیسی

Let J be an equimultiple ideal of height a in a formally equidimensional local ring (R,m). If I is a proper ideal that contains J, we show that the degree of the multiplicity function fJ,I(n)=e(In/Jn) is at most a with equality if and only if J is not a reduction of I. As a consequence, we are able to define a unique filtration J⊆J[a]⊆…⊆J[1]⊆J‾ between the ideal J and its integral closure J‾ with J[k] being the largest ideal containing J such that deg⁡fJ,I(n)≤a−k−1. Further results consider the ideal J[1] and its relation to the S2-ification of the Rees algebra R[Jt].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 452, 15 April 2016, Pages 106-117
نویسندگان
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