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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2017-04-01
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Series: | Open Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/math-2017-0031 |