A Study on Ideal with Skew Derivations of Prime Rings
| dc.contributor.advisor | Tilahun Abebaw | |
| dc.contributor.author | Gizat Alemu | |
| dc.date.accessioned | 2025-09-05T23:01:43Z | |
| dc.date.available | 2025-09-05T23:01:43Z | |
| dc.date.issued | 2024-09 | |
| dc.description.abstract | In this work, we apply the theory of generalized polynomial identities with automorphism and skew derivations to investigate the commutativity of a ring R satisfying certain properties on some appropriate subset of R.Let R be a prime ring and set [x,y]1=[x , y]=xy-yx for all x,y ā R and inductively[x,y]k=[[x,y]k-1,y] for k> 1 . We apply the theory of generalized polynomial identities with automorphism and skew derivations to obtain the following result: Let R be a prime ring and I a nonzero ideal of R. Suppose that .(šæ , š) is a skew derivation of R such that šæ([ x,y] =[x,y]nā¢ for all x , y ā I , then R is commutative. | |
| dc.identifier.uri | https://etd.aau.edu.et/handle/123456789/7386 | |
| dc.language.iso | en_US | |
| dc.publisher | Addis Ababa University | |
| dc.subject | Skew Derivations | |
| dc.subject | Prime Rings | |
| dc.subject | Automorphism | |
| dc.title | A Study on Ideal with Skew Derivations of Prime Rings | |
| dc.type | Thesis |