| ID | 106350 |
| 著者 |
Danchev, Peter V.
Department of Mathematics, University of Plovdiv
|
| キーワード | weakly exchange rings
weakly clean rings
exchange rings
clean rings
|
| 資料タイプ |
紀要論文
|
| 抄録 | 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).
|
| 掲載誌名 |
Journal of mathematics, the University of Tokushima
|
| ISSN | 13467387
|
| cat書誌ID | AA11595324
|
| 巻 | 48
|
| 開始ページ | 1
|
| 終了ページ | 6
|
| 並び順 | 1
|
| 発行日 | 2014
|
| 備考 | 冊子のページ付けは、P.17-22となっている。
|
| フルテキストファイル | |
| 言語 |
eng
|
| 著者版フラグ |
出版社版
|
