When in a multiplicative derivation additive?
Our main objective in this note is to prove the following. Suppose R is a ring having an idempotent element e(e≠0, e≠1) which satisfies: (M1) xR=0 implies x=0.(M2) eRx=0 implies x=0 (and hence Rx=0 implies x=0).(M3) exeR(1−e)=0 implies exe=0. If d is any multiplicative derivation of...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000844 |
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