کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595876 1336139 2015 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global dimensions of power series rings
ترجمه فارسی عنوان
ابعاد جهانی حلقه های قدرت
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

The present paper aims at seeking the Hilbert syzygies' theorem for the power series ring R[[t]]R[[t]] with respect to the global dimension as well as the weak global dimension. Actually, our results generalize known theorems of Small (1968) [13] and Jondrup and Small (1974) [7] related to these two global dimensions. As a prelude to this, we first transfer some well established results on modules over polynomial rings to modules over power series rings. Also, we prove equivalence of the coherence property of a ring R   with the ℵ0ℵ0-coherence of R   along with flatness of the power series ring R[[t]]R[[t]].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 219, Issue 11, November 2015, Pages 5149–5157
نویسندگان
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