کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5771885 1630430 2017 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Covariant functors and asymptotic stability
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Covariant functors and asymptotic stability
چکیده انگلیسی
Let R be a commutative Noetherian ring, I,J ideals of R and M a finitely generated R-module. Let F be a covariant R-linear functor from the category of finitely generated R-modules to itself. We first show that if F is coherent, then the sets AssRF(M/InM), AssRF(In−1M/InM) and the values depthJF(M/InM), depthJF(In−1M/InM) become independent of n for large n. Next, we consider several examples in which F is a rather familiar functor, but is not coherent or not even finitely generated in general. In these cases, the sets AssRF(M/InM) still become independent of n for large n. We then show one negative result where F is not finitely generated. Finally, we give a positive result where F belongs to a special class of functors which are not finitely generated in general, an example of which is the zeroth local cohomology functor.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 484, 15 August 2017, Pages 247-264
نویسندگان
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