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A theorem on compatible N-groups
Published online by Cambridge University Press: 20 January 2009
Extract
A near-ring N is a set N with binary operations + and · satisfying the conditions (1) (N, +) is a group, (2) (N, ·) is a semigroup, and (3) · satisfies one of the distributive laws over +. (N, +) need not be an abelian group and if the left distributive law holds, i.e. a · (b + c) = a · b + a · c for all a, b, c ∈ N, then N is called a left near-ring. Similarly, the notion of a right near-ring may be defined.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 25 , Issue 1 , February 1982 , pp. 27 - 30
- Copyright
- Copyright © Edinburgh Mathematical Society 1982
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