کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587445 1334144 2009 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Contravariantly finite subcategories closed under predecessors
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Contravariantly finite subcategories closed under predecessors
چکیده انگلیسی

Let A be an Artin algebra and modA be the category of finitely generated right A-modules. We prove that an additive full subcategory C of modA closed under predecessors is contravariantly finite if and only if its right Ext-orthogonal is covariantly finite, or if and only if the Ext-injectives in C define a cotilting module (over the support algebra of C) or, equivalently, if and only if C is the support of the representable functors given by the Ext-injectives.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 322, Issue 4, 15 August 2009, Pages 1196-1213