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On Lie ideals and symmetric bi-semiderivations in prime rings | ||
| Journal of Algebra and Related Topics | ||
| دوره 11، شماره 1، شهریور 2023، صفحه 137-146 اصل مقاله (240.21 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.21465.1365 | ||
| نویسندگان | ||
| D. Yılmaz* 1؛ H. Yazarlı2 | ||
| 1Erzurum Technical University, Faculty of Science, Department of Mathematics, Erzurum, Turkey | ||
| 2Department of Mathematics, Sivas Cumhuriyet University Sivas, Turkey | ||
| چکیده | ||
| In this paper, we investigate the relationship between symmetric bi-semiderivations and Lie ideals of a prime ring. Additionally, we extend some well-known results concerning symmetric biderivations of prime rings to symmetric bi-semiderivations. | ||
| کلیدواژه‌ها | ||
| symmetric bi-derivations؛ Lie ideals؛ bi-semiderivations؛ prime rings | ||
| مراجع | ||
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1. A. Ali and K. Kumar, Traces of permuting n-additive mappings in*-prime rings, J. Algebra Relat. Topics, (2) 8 (2020), 9-21. 2. N. Argac and M. S. Yenigul, Lie ideals and symmetric bi-derivation on prime and semiprime rings, Pure and Applied Math. Sci. 44 (1996), 17-21. 3. J. Bergen, I. N. Herstein and J. W. Kerr, Lie ideals and derivations of prime rings, J. Algebra, 71 (1981), 259-267. 4. G. Maksa, On the trace of symmetric bi-derivations, C. R. Math. Rep. Acad. Sci. Canada, 9 (1987), 303-307. 5. E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093-1100. 6. N. Rehman and A. Z. Ansari, On Lie ideals with symmetric bi-additive maps in rings, Palestine Journal of Math. 2 (2013), 14-21. 7. J. Vukman, Symmetic bi-derivations on prime and semiprime rings, Aequations Math. 38 (1989), 245-254. 8. M. Yenigul and N Argac, Ideals and symmetric biderivations on prime and semiprime rings, Math. J. Okayama Univ. 35 (1993), 189-192. 9. D. Ylmaz and H. Yazarl, On symmetric bi-semiderivatrions of prime rings, submitted. | ||
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آمار تعداد مشاهده مقاله: 145 تعداد دریافت فایل اصل مقاله: 254 |
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