A result related to derivations on unital semiprime rings
The purpose of this paper is to prove the following result. Let n≥3 be some fixed integer and let R be a (n+1)!2n-2-torsion free semiprime unital ring. Suppose there exists an additive mapping D: R→ R satisfying the relation for all x ∈ R. In this case D is a derivation. The history of this result g...
| Permalink: | http://skupni.nsk.hr/Record/nsk.NSK01001145044/Details |
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| Matična publikacija: |
Glasnik matematički (Online) 56 (2021), 1 ; str. 95-106 |
| Glavni autori: | Kosi-Ulbl, Irena (Author), Širovnik, Nejc, Vukman, Joso |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.56.1.07 Glasnik matematički (Online) Hrčak |
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| 003 | HR-ZaNSK | ||
| 005 | 20221010153242.0 | ||
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| 007 | cr|||||||||||| | ||
| 008 | 220803s2021 ci |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.3336/gm.56.1.07 | |
| 035 | |a (HR-ZaNSK)001145044 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Kosi-Ulbl, Irena |4 aut | |
| 245 | 1 | 2 | |a A result related to derivations on unital semiprime rings |h [Elektronička građa] / |c Irena Kosi-Ulbl, Nejc Širovnik, Joso Vukman. |
| 504 | |a Bibliografija: 18 jed. | ||
| 504 | |a Abstract. | ||
| 520 | |a The purpose of this paper is to prove the following result. Let n≥3 be some fixed integer and let R be a (n+1)!2n-2-torsion free semiprime unital ring. Suppose there exists an additive mapping D: R→ R satisfying the relation for all x ∈ R. In this case D is a derivation. The history of this result goes back to a classical result of Herstein, which states that any Jordan derivation on a 2-torsion free prime ring is a derivation. | ||
| 653 | 0 | |a Prsten (matematika) |a Derivacije |a Jordanova derivacija | |
| 700 | 1 | |a Širovnik, Nejc |4 aut | |
| 700 | 1 | |a Vukman, Joso |4 aut | |
| 773 | 0 | |t Glasnik matematički (Online) |x 1846-7989 |g 56 (2021), 1 ; str. 95-106 |w nsk.(HR-ZaNSK)000659858 | |
| 981 | |b Be2021 |b B03/21 | ||
| 998 | |b tino2210 | ||
| 856 | 4 | 0 | |u https://doi.org/10.3336/gm.56.1.07 |
| 856 | 4 | 0 | |u https://web.math.pmf.unizg.hr/glasnik/EasyTracker.php?id=56107 |y Glasnik matematički (Online) |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |
| 856 | 4 | 0 | |u https://hrcak.srce.hr/259303 |y Hrčak |