THE LATTICE OF IDEALS OF THE NEARRING OF COSET PRESERVING FUNCTIONS

Original Articles

THE LATTICE OF IDEALS OF THE NEARRING OF COSET PRESERVING FUNCTIONS

Published in: Quaestiones Mathematicae
Volume 24 , issue 1 , 2001 , pages: 1–7
DOI: 10.1080/16073606.2001.9639768
Author(s): G. , Alan Cannon Department of Mathematics, , Lucyna Kabza Department 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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