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Near-rings associated with generalized translation structures

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Abstract

In this paper we study generalized translation spaces with operators, denoted by GTSO. We associate to each GTSO a near-ring, called the kernel of the GTSO. Focusing on the finite case we show that every near-ring with identity arises as the kernel of an appropriate GTSO. In terms of the geometric properties of the GTSO we obtain representation results for the classes of local near-rings and near-fields.

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  1. Mathematics Department, Texas A&M University, 77843, College Station, TX, USA

    Carlton J. Maxson

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  1. Carlton J. Maxson
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Maxson, C.J. Near-rings associated with generalized translation structures. J Geom 24, 175–193 (1985). https://doi.org/10.1007/BF01220486

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  • DOI: https://doi.org/10.1007/BF01220486

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