کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596674 1336178 2012 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Associated primes of local cohomology and S2-ification
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Associated primes of local cohomology and S2-ification
چکیده انگلیسی

Let R be commutative Noetherian, I⊂R an ideal, and M a finitely generated R-module. We prove that if R/P has an S2-ification for all P∈Spec(R) then the set of primes associated to the second local cohomology module is finite when ht(IR/P)≥2 for all P∈AssRM and AssRM⊆AssRR. We use that to show that if dim(R)=3 and the ideal transform of R with respect to any height 2 ideal generated by non-zerodivisors is a finitely generated module, then is finite for any I with ht (IR/P)≥2. We also reduce the problem of showing is finite for local four dimensional rings to an extremely concrete case.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 216, Issue 3, March 2012, Pages 519-523