کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588679 1334192 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
When every self-small module is finitely generated
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
When every self-small module is finitely generated
چکیده انگلیسی

The aim of this paper is to give necessary and sufficient conditions for rings for which every right self-small module is finitely generated. It is proved that: semi-simple rings, commutative perfect rings and right nonsingular Σ-extending rings have this property; a right nonsingular semi-prime ring has the property if and only if it is semi-simple; a commutative noetherian ring has the property if and only if it is artinian.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 315, Issue 2, 15 September 2007, Pages 885-893