Derivations of differentially semiprime rings.

Autor: Al Khalaf, Ahmad, Taha, Iman, Artemovych, Orest D., Aljouiiee, Abdullah
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Zdroj: Asian-European Journal of Mathematics; Oct2019, Vol. 12 Issue 5, pN.PAG-N.PAG, 7p
Abstrakt: Earlier D. A. Jordan, C. R. Jordan and D. S. Passman have investigated the properties of Lie rings Der R of derivations in a commutative differentially prime rings R. We study Lie rings Der R in the non-commutative case and prove that if R is a 2 -torsion-free D -semiprime ring, then D is a semiprime Lie ring or R is a commutative ring. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index