کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588172 1334175 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Strong cleanness of the 2×2 matrix ring over a general local ring
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Strong cleanness of the 2×2 matrix ring over a general local ring
چکیده انگلیسی

A ring R is called strongly clean if every element of R is the sum of a unit and an idempotent that commute with each other. A recent result of Borooah, Diesl and Dorsey [G. Borooah, A.J. Diesl, T.J. Dorsey, Strongly clean matrix rings over commutative local rings, J. Pure Appl. Algebra 212 (1) (2008) 281–296] completely characterized the commutative local rings R for which Mn(R) is strongly clean. For a general local ring R and n>1, however, it is unknown when the matrix ring Mn(R) is strongly clean. Here we completely characterize the local rings R for which M2(R) is strongly clean.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 320, Issue 6, 15 September 2008, Pages 2280-2290