Decompositions of Quotient Rings and m-Power Commuting Maps

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109183

Title:	Decompositions of Quotient Rings and m-Power Commuting Maps
Authors:	陳志瑋;Chen, Chih-Whi;Koşan, M. Tamer;Lee, Tsiu-Kwen
Contributors:	理學院數學系
Keywords:	Algebra;Derivation;Faithful f-free ring;Linear differential polynomial;m-Power commuting map;Semiprime ring;Symmetric Martindale quotient ring
Date:	2013-05-01
Issue Date:	2026-04-23 16:13:56 (UTC+8)
Publisher:	Taylor and Francis Ltd.;Taylor & Francis Group
Abstract:	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
Appears in Collections:	[Department of Mathematics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	18	View/Open

社群 sharing