Decompositions of Quotient Rings and m-Power Commuting Maps

Chih Whi Chen, M. Tamer Koşan, Tsiu Kwen Lee

研究成果: 雜誌貢獻期刊論文同行評審

5 引文 斯高帕斯(Scopus)

摘要

Let R be a semiprime ring with symmetric Martindale quotient ring Q, n ≥ 2 and let f(X) = Xn h(X), where h(X) is a polynomial over the ring of integers with h(0) = ±1. Then there is a ring decomposition Q = Q1 ⊕ Q2 ⊕ Q3 such that Q1 is a ring satisfying S2n-2, the standard identity of degree 2n - 2, Q2 ≅ Mn(E) for some commutative regular self-injective ring E such that, for some fixed q > 1, xq = x for all x ∈ E, and Q3 is a both faithful S2n-2-free and faithful f-free ring. Applying the theorem, we characterize m-power commuting maps, which are defined by linear generalized differential polynomials, on a semiprime ring.

原文???core.languages.en_GB???
頁(從 - 到)1865-1871
頁數7
期刊Communications in Algebra
41
發行號5
DOIs
出版狀態已出版 - 5月 2013

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