کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8966102 1646771 2019 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Derived recollements and generalised AR formulas
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Derived recollements and generalised AR formulas
چکیده انگلیسی
The Defect Recollement, Restriction Recollement, Auslander-Gruson-Jensen Recollement, and others, are shown to be instances of a general construction using zeroth derived functors and methods from stable module theory. The right derived functors Wk:=Rk(_)⁎ are computed and it is shown that the functor W2:=R2(_)⁎ is right exact and restricts to a duality W of the defect zero functors. The duality W satisfies two identities which we call the Generalised Auslander-Reiten formulas. We show that W induces the generalised Auslander-Bridger transpose and show that the Generalised Auslander-Reiten formulas reduce to the well-known Auslander-Reiten formulas.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 223, Issue 2, February 2019, Pages 515-546
نویسندگان
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