Orthogonal Higher Triple Centralizers on Semiprime Г-Rings
الكلمات المفتاحية:
Semiprime gaֺmma ring, Higħer centralizer, Higher triple centrálizer, orthogonal, highr tripļe centralizerالملخص
Many specialists in the field of algebra have highlighted many results related to the Γ-ring, in our work we will present the concept of orthogonality on Γ- rings. Let M be a semiprime Γ-ring, and are two higher triple centralizers of M, then called orthogonal if fὸr evey we have . Also, in this paper we prove some of lemmas and theorem about orthogonally of the two higher triple centralizers t and s , one of these theorems is: Let triple centralizers of If or (0) where are commutating mapping. Then and are orthogonal.
المراجع
Chakraborty S. & Chandra Paul A. (2008). On Jordan k-Derivations of 2-Torsion Free Prime Γ N-Rings, Punjab University, Journal of Mathematics, Vol. 40, 97-101.
Hoque M. F. & Paul A. C. (2011). On Centralizers of Semiprime Gamma Rings, International Mathematical Forum, Vol. 6, no. 13, 627 - 638.
Ibraheem A. M. & Salih S. M. (2021). Jordan Higher Triple Left Resp. Right Centralizers of Prime Γ-Rings, Diyala Journal For Pure Science, Vol. 17, no. 3, 25–36, doi: 10.24237/djps.17.03.210-561-icps.
Jarullah F. R. & Salih S. M. (2020). An Orthognal Higher Reverse Left (Resp. Right) Centralizer On Semiprime Rings, International Journal of Advanced Scientific and Technical Research, Vol. 6, no. 10, doi: 10.26808/rs.st.10V6.03.
Ozturk M. A. & Sapanci M. (1997). Orthogonal symmetric bi-derivation on semi-prime gamma rings, Hacettepe Bulletin of Natural Sciences and Engineering, Vol. 26, 31-4.
التنزيلات
منشور
إصدار
القسم
الرخصة
الحقوق الفكرية (c) 2024 Afrah Mohammad Ibraheem (Author)

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