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The near-ring of generalized affine transformations
Published online by Cambridge University Press: 17 April 2009
Abstract
Blackett and Wolfson studied the near-ring Aff (V) consisting of all affine transformations of a vector space V. This notion is generalized here, and the rear-ring Aff (G) consisting of affine-like maps of a nilpotent group G is introduced. The ideal structure, and the multiplication rule for Aff (G) are determined. Finally a near-ring S is introduced which generalized both Aff (G), and Gonshor's abstract affine near-rings. The ideals of S are determined.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 32 , Issue 3 , December 1985 , pp. 345 - 349
- Copyright
- Copyright © Australian Mathematical Society 1985
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