| dc.creator | Boua, Abdelkarim | |
| dc.creator | Ashraf, Mohammed | |
| dc.date | 2020-04-24 | |
| dc.date.accessioned | 2020-05-19T17:01:09Z | |
| dc.date.available | 2020-05-19T17:01:09Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/3332 | |
| dc.identifier | 10.22199/issn.0717-6279-2020-02-0021 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/134086 | |
| dc.description | Let R be a prime ring of characteristic different from 2 with involution ’∗’ of the second kind and n ≥ 1 be a fixed positive integer. In the present paper it is shown that if R admits nonzero left multipliers S and T, then the following conditions are equivalent: (i) R is commutative. (ii) Tn([x, x∗]) 2 Z(R) for all x 2 R; (iii) Tn(x ◦ x∗) 2 Z(R) for all x 2 R; (iv) [S(x), T(x∗)] 2 Z(R) for all x 2 R; (v) [S(x), T(x∗)] - (x ◦ x∗) 2 Z(R) for all x 2 R; (vi) S(x) ◦ T(x∗) 2 Z(R) for all x 2 R; (vii) S(x) ◦ T(x∗) - [x, x∗] 2 Z(R) for all x 2 R. The existence of hypotheses in various theorems have been justified by the examples. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/article/view/3332/3365 | |
| dc.rights | Copyright (c) 2020 Abdelkarim Boua, Mohammed Ashraf | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol 39 No 2 (2020); 341-359 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 39 Núm. 2 (2020); 341-359 | es-ES |
| dc.source | 0717-6279 | |
| dc.subject | Prime ring | en-US |
| dc.subject | Derivation | en-US |
| dc.subject | Multiplier | en-US |
| dc.subject | Involution | en-US |
| dc.subject | Commutativity | en-US |
| dc.subject | 16N60 | en-US |
| dc.subject | Prime and semiprime associative rings | en-US |
| dc.subject | 16W25 | en-US |
| dc.subject | Derivations, actions of Lie algebras | en-US |
| dc.subject | 16U80 | en-US |
| dc.subject | Generalizations of commutativity (associative rings and algebras) | en-US |
| dc.title | Prime rings with involution involving left multipliers | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
