کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588293 1334179 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quillen's small object argument in the category of firm modules
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Quillen's small object argument in the category of firm modules
چکیده انگلیسی

Firm modules over a nonunital ring are introduced by Quillen to study properties of Morita invariance extending thus the case of unitary rings. In the present paper we introduce new homology groups in the category of firm modules which are preserved under Morita equivalences in very general terms. We see that there are long exact sequences of homology attached to certain morphisms of firm modules. Our arguments are based in Quillen's small object argument.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 6, 15 March 2008, Pages 2518-2532