Near-fields associated with invariant linear $\kappa$-relations
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- by Peter Fuchs and C. J. Maxson PDF
- Proc. Amer. Math. Soc. 103 (1988), 729-736 Request permission
Abstract:
In this paper we investigate a construction method for subnearrings of $M\left ( G \right )$ proposed by H. Wielandt using subgroups of direct powers ${G^\kappa }$ of $G$ called invariant linear $\kappa$-relations. If $\kappa = 2$ we characterize, in terms of properties of these subgroups, when the associated near-rings are near-fields and prove that every near-field arising from an invariant linear $2$-relation must be a field.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 729-736
- MSC: Primary 16A76; Secondary 12K05, 20E99
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947647-6
- MathSciNet review: 947647