On Minimal Generating Sets of E(Dn), A(Dn) and I(Dn) with Even n

Y. Fong, F. K. Huang, Wen-Fong Ke

Research output: Contribution to journalArticlepeer-review

Abstract

Let Dn be the dihedral group of order 2n. Denote by E(Dn) (resp. A(Dn), I(Dn)) the distributively generated nearring generated by the set of all endomorphisms (resp. automorphisms, inner automorphisms). In this paper, we determine for each one of the above three nearrings a minimal (additive) generating set. For E(Dn), this set contains the identity mapping and four other endomorphisms; for A(Dn), the identity mapping, one outer automorphism and one inner automorphisms; and for I(Dn), the identity mapping and two inner automorphisms.

Original languageEnglish
Pages (from-to)53-62
Number of pages10
JournalResults in Mathematics
Volume28
Issue number1
DOIs
Publication statusPublished - 1995 Jan 1

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)
  • Applied Mathematics

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