| ID | 106350 |
| Author |
Danchev, Peter V.
Department of Mathematics, University of Plovdiv
|
| Keywords | weakly exchange rings
weakly clean rings
exchange rings
clean rings
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| Content Type |
Departmental Bulletin Paper
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| 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
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| TextVersion |
Publisher
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