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)

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)

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 *-ni...

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Bibliographic Details
Main Authors: 王尧(WANG Yao), 李欣(LI Xin), 任艳丽(REN Yanli)
Format: Article
Language:zho
Published: Zhejiang University Press 2024-03-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
involution(对合)
mccoy ring(mccoy环)
*-nil mccoy ring(*-诣零mccoy环)
*-skew polynomial ring(*-斜多项式环)
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2024.02.004

Internet

https://doi.org/10.3785/j.issn.1008-9497.2024.02.004

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