Commutativity of rings and near-rings with generalized derivations
Ahmed A. M. Kamal () and
Khalid H. Al-Shaalan
Additional contact information
Ahmed A. M. Kamal: King Saud University
Khalid H. Al-Shaalan: King Abdul-aziz Military Academy
Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 4, 473-496
Abstract:
Abstract In this paper we prove some theorems of commutativity for prime rings or 3-prime near-rings with a suitably constrained generalized derivation. As a consequence of the results obtained, we prove several commutativity theorems for 3-prime near-rings and prime rings. Also, we prove some other results about the generalized derivation either on a near-ring or on a ring.
Keywords: Rings; near-rings; generalized derivation; primeness; commutativity (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)
Downloads: (external link)
http://link.springer.com/10.1007/s13226-013-0025-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:44:y:2013:i:4:d:10.1007_s13226-013-0025-8
Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226
DOI: 10.1007/s13226-013-0025-8
Access Statistics for this article
Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke
More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().