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Derivations of differentially semiprime rings
Authors:
- Ahmad Al Khalaf,
- Iman Taha,
- Orest D. Artemovych,
- Abdullah Aljouiiee
Abstract
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.
- Record ID
- CUT8c06338dc65a4e42829875b25c5040dc
- Publication categories
- ;
- Author
- Journal series
- Asian-European Journal of Mathematics, ISSN 1793-5571, e-ISSN 1793-7183
- Issue year
- 2019
- Vol
- 12
- No
- 5
- Pages
- [1-7]
- Article number
- 1950079
- Other elements of collation
- Bibliografia (na s.) - 7; Bibliografia (liczba pozycji) - 19; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 12, No. 5
- Keywords in English
- derivation, semiprime rings, lie ring
- DOI
- DOI:10.1142/S1793557119500797 Opening in a new tab
- URL
- https://www.worldscientific.com/doi/abs/10.1142/S1793557119500797 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 20
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT8c06338dc65a4e42829875b25c5040dc/
- URN
urn:pkr-prod:CUT8c06338dc65a4e42829875b25c5040dc
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.