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The Lattice of Ideals of the Nearring of Coset Preserving Functions
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 ∈ G} is determined.
Keywords: near-rings, ideals, lattice
Mathematics Subject Classification (1991): 16Y30
Quaestiones Mathematicae
24(1) 2001, 1-8
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 ∈ G} is determined.
Keywords: near-rings, ideals, lattice
Mathematics Subject Classification (1991): 16Y30
Quaestiones Mathematicae
24(1) 2001, 1-8
