Original Articles

THE LATTICE OF IDEALS OF THE NEARRING OF COSET PRESERVING FUNCTIONS

Published in: Quaestiones Mathematicae
Volume 24 , issue 1, pages: 1–7

DOI: 10.1080/16073606.2001.9639768

Author(s): G., Alan CannonDepartment of Mathematics, , Lucyna KabzaDepartment of Mathematics, ,

Keywords: 16Y30,

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Abstract

Let G be a group and let N be a normal subgroup of G. The lattice of ideals of the nearring D(N) = {f: G → G | f(0) = 0 and f(x + N) ⊆ f(x) + N for all x ε G} is determined.

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Original Articles

THE LATTICE OF IDEALS OF THE NEARRING OF COSET PRESERVING FUNCTIONS

Abstract

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