1.School of Mathematics and Statistics, Nanjing University of Information Technology, Nanjing 210044, China; 2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China)*-nil McCoy ring(*-诣零McCoy环)
In: Zhejiang Daxue xuebao. Lixue ban, Jg. 51 (2024), Heft 2, S. 162-171
Online
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Zugriff:
We study the properties of McCoy rings with a doubly mapping, give some examples of this class rings, investigate their extensions and the *-nil McCoy property of *-skew polynomial rings. We showed that (1) Let *-ring R satisfy nil(R[x]) = nil(R)[x]. Then R is *-nil McCoy if and only if R[x] is *-nil McCoy; (2) Let R[x; *] be *-skew polynomial ring. If R is *-revisible, then R[x; *] is *-nil McCoy.(研究了具有对合映射*-诣零McCoy环的性质,给出了一批*-诣零McCoy环例子,并讨论了其扩张和*-斜多项式环的*-诣零McCoy性,证明了(1)设*-环R满足nil(R[x])=nil(R)[x],则环R是*-诣零McCoy环当且仅当环R[x]是*-诣零McCoy环;(2)设R[x;*]是*-斜多项式环,如果R是*-可逆环,则R[x;*]是*-诣零McCoy环。)
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1.School of Mathematics and Statistics, Nanjing University of Information Technology, Nanjing 210044, China; 2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China)*-nil McCoy ring(*-诣零McCoy环)
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Autor/in / Beteiligte Person: | Yao), 王尧(WANG ; Xin), 李欣(LI ; Yanli), 任艳丽(REN |
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Zeitschrift: | Zhejiang Daxue xuebao. Lixue ban, Jg. 51 (2024), Heft 2, S. 162-171 |
Veröffentlichung: | Zhejiang University Press, 2024 |
Medientyp: | academicJournal |
ISSN: | 1008-9497 (print) |
DOI: | 10.3785/j.issn.1008-9497.2024.02.004 |
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