ID 106350
Author
Danchev, Peter V. Department of Mathematics, University of Plovdiv
Keywords
weakly exchange rings
weakly clean rings
exchange rings
clean rings
Content Type
Departmental Bulletin Paper
Description
We show that an associate unital ring R is weakly exchange (respectively, weakly clean) if R/J(R) is weakly exchange (respectively, weakly clean) and idempotents in R lift modulo J(R). If, in addition, 2 belongs to J(R), then the converse holds too. In particular, if 2 lies in J(R), then any weakly exchange ring is exchange as well as any weakly clean ring is clean. These facts somewhat strengthen some classical results due to Nicholson (Trans. Amer. Math. Soc., 1977).
Journal Title
Journal of mathematics, the University of Tokushima
ISSN
13467387
NCID
AA11595324
Volume
48
Start Page
1
End Page
6
Sort Key
1
Published Date
2014
Remark
冊子のページ付けは、P.17-22となっている。
FullText File
language
eng
TextVersion
Publisher