Commutativity and structure of rings with commuting nilpotents
Let R be a ring and let N denote the set of nilpotent elements of R. Let Z denote the center of R. Suppose that (i) N is commutative, (ii) for every x in R there exists x′ϵ<x> such that x−x2x′ϵN, where <x> denotes the subring generated by x, (iii) for every x,y in R, there exists an integer n=n(x,y)...
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| Hauptverfasser: | , |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Wiley
1983-01-01
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| Schriftenreihe: | International Journal of Mathematics and Mathematical Sciences |
| Schlagworte: | |
| Online-Zugang: | http://dx.doi.org/10.1155/S0161171283000101 |
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