کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8896556 1630442 2017 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Filtrations and homological degrees of FI-modules
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Filtrations and homological degrees of FI-modules
چکیده انگلیسی
Let k be a commutative Noetherian ring. In this paper we consider ♯-filtered modules of the category FI firstly introduced in [12]. We show that a finitely generated FI-module V is ♯-filtered if and only if its higher homologies all vanish, and if and only if a certain homology vanishes. Using this homological characterization, we characterize finitely generated C-modules V whose projective dimension pd(V) is finite, and describe an upper bound for pd(V). Furthermore, we give a new proof for the fact that V induces a finite complex of ♯-filtered modules, and use it as well as a result of Church and Ellenberg in [1] to obtain another upper bound for homological degrees of V.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 472, 15 February 2017, Pages 369-398
نویسندگان
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