کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896142 | 1630411 | 2018 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bimodule monomorphism categories and RSS equivalences via cotilting modules
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The monomorphism category M(A,M,B) induced by a bimodule MBA is the subcategory of Î-mod consisting of [XY]Ï such that Ï:MâBYâX is a monic A-map, where Î=[AM0B], and A, B are Artin algebras. In general, M(A,M,B) is not the monomorphism category induced by quivers. It could describe the Gorenstein-projective Î-modules. This monomorphism category is a resolving subcategory of Î-mod if and only if MB is projective. In this case, it has enough injective objects and Auslander-Reiten sequences, and can be also described as the left perpendicular category of a unique basic cotilting Î-module. If M satisfies the condition (IP) (see Subsection 1.6), then the stable category of M(A,M,B) admits a recollement of additive categories, which is in fact a recollement of singularity categories if M(A,M,B) is a Frobenius category. Ringel-Schmidmeier-Simson equivalence between M(A,M,B) and its dual is introduced. If M is an exchangeable bimodule, then an RSS equivalence is given by a Î-Î bimodule which is a two-sided cotilting Î-module with a special property; and the Nakayama functor NÎ gives an RSS equivalence if and only if both A and B are Frobenius algebras.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 503, 1 June 2018, Pages 21-55
Journal: Journal of Algebra - Volume 503, 1 June 2018, Pages 21-55
نویسندگان
Bao-Lin Xiong, Pu Zhang, Yue-Hui Zhang,