کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587636 1334152 2008 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A generalization of projective covers
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A generalization of projective covers
چکیده انگلیسی

Let M be a left module over a ring R and I an ideal of R. We call (P,f) a projective I-cover of M if f is an epimorphism from P to M, P is projective, Kerf⊆IP, and whenever P=Kerf+X, then there exists a summand Y of P in Kerf such that P=Y+X. This definition generalizes projective covers and projective δ-covers. Similar to semiregular and semiperfect rings, we characterize I-semiregular and I-semiperfect rings which are defined by Yousif and Zhou using projective I-covers. In particular, we consider certain ideals such as , , and .

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 12, 15 June 2008, Pages 4947-4960