On rings for which homogeneous maps are linear
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- by P. Fuchs, C. J. Maxson and G. Pilz PDF
- Proc. Amer. Math. Soc. 112 (1991), 1-7 Request permission
Abstract:
Let $R$ be the collection of all rings $R$ such that for every $R$-module $G$, the centralizer near-ring ${M_R}(G) = \{ f:G \to G|f(rx) = rf(x),r \in R,x \in G\}$ is a ring. We show $R \in R$ if and only if ${M_R}(G) = {\text {En}}{{\text {d}}_R}(G)$ for each $R$-module $G$. Further information about $R$ is collected and the Artinian rings in $R$ are completely characterized.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 1-7
- MSC: Primary 16S50; Secondary 16Y30
- DOI: https://doi.org/10.1090/S0002-9939-1991-1042265-6
- MathSciNet review: 1042265