Displaying similar documents to “Logical connections between some open problems concerning nil rings”

Additive radicals

Konstantin Igorevich Beidar, Katarina Trokanová-Salavová (1989)

Czechoslovak Mathematical Journal

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

Ali H. Handam, Hani A. Khashan (2017)

Open Mathematics

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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 is said to be strongly g(x)-nil clean if every element in R is a sum of a nilpotent and a root of g(x) that commute. In this paper, we give some relations between strongly nil clean rings and...