کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584794 1630506 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Colocalization and cotilting for commutative noetherian rings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Colocalization and cotilting for commutative noetherian rings
چکیده انگلیسی

For a commutative noetherian ring R  , we investigate relations between tilting and cotilting modules in Mod–RMod–R and Mod–RmMod–Rm, where mm runs over the maximal spectrum of R  . For each n<ωn<ω, we construct a 1–11–1 correspondence between (equivalence classes of) n-cotilting R-modules C   and (equivalence classes of) compatible families FF of n  -cotilting RmRm-modules (m∈mSpec(R)m∈mSpec(R)). It is induced by the assignment C↦(Cm|m∈mSpec(R))C↦(Cm|m∈mSpec(R)), where Cm=HomR(Rm,C)Cm=HomR(Rm,C) is the colocalization of C   at mm, and its inverse F↦∏F∈FFF↦∏F∈FF. We construct a similar correspondence for n-tilting modules using compatible families of localizations; however, there is no explicit formula for the inverse.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 408, 15 June 2014, Pages 28–41
نویسندگان
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