A VARIATION ON NIL AND NILPOTENT
| Autor: | Andries P. J. van der Walt |
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| Rok vydání: | 1984 |
| Předmět: | |
| Zdroj: | Quaestiones Mathematicae. 7:101-104 |
| ISSN: | 1727-933X 1607-3606 |
| DOI: | 10.1080/16073606.1984.9632324 |
| Popis: | Vir Hennie Schutte op sestig Abstract A left ideal L is left strongly nil if given any l e L and any k e K, K a left ideal, there is an n such that (l + k)n e K. L is left strongly nilpotent if for any left ideal K there exists n such that (L + K) n ⊆ K. It is proved that if A is a left artinian ring with unity then every left strongly nil left ideal is left strongly nil-potent. |
| Databáze: | OpenAIRE |
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