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
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.
Received: 06 September 2022
Published: 08 March 2024
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