Orthogonal Higher Triple Centralizers on Semiprime Г-Rings
Keywords:
Semiprime gaֺmma ring, Higħer centralizer, Higher triple centrálizer, orthogonal, highr tripļe centralizerAbstract
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.
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Copyright (c) 2024 Afrah Mohammad Ibraheem (Author)
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