کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596092 1336149 2015 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Persistence and stability properties of powers of ideals
ترجمه فارسی عنوان
ویژگی های پایداری و ثبات قدرت های آرمان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We introduce the concept of strong persistence and show that it implies persistence regarding the associated prime ideals of the powers of an ideal. We also show that strong persistence is equivalent to a condition on power of ideals studied by Ratliff. Furthermore, we give an upper bound for the depth of powers of monomial ideals in terms of their linear relation graph, and apply this to show that the index of depth stability and the index of stability for the associated prime ideals of polymatroidal ideals are bounded by their analytic spread.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 219, Issue 3, March 2015, Pages 530–542
نویسندگان
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