کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493506 | 1334245 | 2005 | 75 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras](/preview/png/9493506.png)
چکیده انگلیسی
We use torsion pairs in stable categories and cotorsion pairs in modules categories to study, in general infinitely generated, Cohen-Macaulay modules and (a generalization of) modules of finite projective or injective dimension over an Artin algebra. We concentrate our investigation to the study of virtually Gorenstein algebras which provide a common generalization of Gorenstein algebras and algebras of finite representation or Cohen-Macaulay type. This class of algebras on the one hand has rich homological structure and satisfies several representation/torsion theoretic finiteness conditions, and on the other hand it is closed under various operations, for instance derived equivalences and stable equivalences of Morita type. In addition virtual Gorensteinness provides a useful tool for the study of the Gorenstein Symmetry Conjecture and modified versions of the Telescope Conjecture for module or stable categories.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 288, Issue 1, 1 June 2005, Pages 137-211
Journal: Journal of Algebra - Volume 288, Issue 1, 1 June 2005, Pages 137-211
نویسندگان
Apostolos Beligiannis,