Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute

An element in a ring R with identity is said to be strongly nil clean if it is the sum of an idempotent and a nilpotent that commute, R is said to be strongly nil clean if every element of R is strongly nil clean. Let C(R) be the center of a ring R and g(x) be a fixed polynomial in C(R)[x]. Then R i...

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Bibliographic Details
Main Authors: Handam Ali H., Khashan Hani A.
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0031