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A commutativity theorem for left s-unital rings

In this paper we generalize some well-known commutativity theorems for associative rings as follows: Let R be a left s-unital ring. If there exist nonnegative integers m>1, k≥0, and n≥0 such that for any x, y in R, [xky−xnym,x]=0, then R is commutative.

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Autor principal: Hamza A. S. Abujabal
Format: Artigo
Idioma:Inglês
Publicat: Wiley 1990-01-01
Col·lecció:International Journal of Mathematics and Mathematical Sciences
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Accés en línia:http://dx.doi.org/10.1155/S0161171290001065
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