| dc.creator |
Çiloğlu Şahin, Zekiye |
|
| dc.creator |
Kılıç, Ayşe |
|
| dc.date |
2023-12-01T00:00:00Z |
|
| dc.date.accessioned |
2025-02-25T10:34:17Z |
|
| dc.date.available |
2025-02-25T10:34:17Z |
|
| dc.identifier |
928b3270-9c62-4c6b-91e6-b274ba63e3d2 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/928b3270-9c62-4c6b-91e6-b274ba63e3d2/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/100582 |
|
| dc.description |
<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span style="font-size: 9pt; font-family: NimbusRomNo9L;">A symmetric bi-additive mapping </span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">F</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">, on a prime ring </span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">R </span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">is called skew symmetric Jordan bi-derivation (</span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">SSJBD</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">) if the following equality (associated with the automorphism of </span><span style="font-size: 9pt; font-family: rtxmi;">α </span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">of </span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">R</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">):</span></p><p><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">F</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">(</span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">x</span><span style="font-size: 6pt; font-family: NimbusRomNo9L; vertical-align: 4pt;">2</span><span style="font-size: 9pt; font-family: rtxmi;">, </span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">z</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">) </span><span style="font-size: 9pt; font-family: rtxr;">= </span><span style="font-size: 9pt; font-family: rtxmi;">α</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">(</span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">x</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">)</span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">F</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">(</span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">x</span><span style="font-size: 9pt; font-family: rtxmi;">, </span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">z</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">) </span><span style="font-size: 9pt; font-family: rtxr;">+ </span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">F</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">(</span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">x</span><span style="font-size: 9pt; font-family: rtxmi;">, </span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">z</span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">)</span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">x<br></span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">is satisfied. The paper aims to investigate the properties of </span><span style="font-size: 9pt; font-family: NimbusRomNo9L; font-style: italic;">SSJBD </span><span style="font-size: 9pt; font-family: NimbusRomNo9L;">constructed by a generalization of symmetric Jordan bi-</span></p><p><span style="font-size: 9pt; font-family: NimbusRomNo9L;">derivations on prime rings.<br></span></p></div></div></div> |
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| dc.language |
eng |
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| dc.rights |
info:eu-repo/semantics/closedAccess |
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| dc.title |
Some results on prime rings with skew symmetric Jordan bi-derivations |
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| dc.type |
info:eu-repo/semantics/article |
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