摘要： Let R be a semiprime ring with symmetric Martindale quotient ring Q, n ≥ 2 and let f(X) = X n h(X), where h(X) is a polynomial over the ring of integers with h(0) = ±1. Then there is a ring decomposition Q = Q 1 ⊕ Q 2 ⊕ Q 3 such that Q 1 is a ring satisfying S 2n−2 , the standard identity of degree 2n − 2, Q 2 ≅ M n (E) for some commutative regular self-injective ring E such that, for some fixed q > 1, x q = x for all x ∈ E, and Q 3 is a both faithful S 2n−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. 出版者： Taylor & Francis Group 出版日期： 2013-05-20 出處： Communications in algebra, 2013-05, Vol.41 (5), p.1865-1871 版權： Copyright Taylor & Francis Group, LLC 2013 識別號： ISSN: 0092-7872 識別號： EISSN: 1532-4125 識別號： DOI: 10.1080/00927872.2011.651764
