کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5771868 1630435 2017 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
(Non)Vanishing results on local cohomology of valuation rings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
(Non)Vanishing results on local cohomology of valuation rings
چکیده انگلیسی
We examine local cohomology in the setting of valuation rings. The novelty of this investigation stems from the fact that valuation rings are usually non-Noetherian, whereas local cohomology has been extensively developed mostly in a Noetherian setting. Various vanishing results on local cohomology for valuation rings of finite Krull dimension are obtained, and a uniform bound on the global dimension of such rings is established. Our investigation reveals differences in the sheaf theoretic definition of local cohomology, and the algebraic definition in terms of a limit of certain Ext functors.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 479, 1 June 2017, Pages 413-436
نویسندگان
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