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

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

研究成果: Article同行評審

摘要

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.

原文English
頁(從 - 到)53-62
頁數10
期刊Results in Mathematics
28
發行號1
DOIs
出版狀態Published - 1995 一月 1

All Science Journal Classification (ASJC) codes

  • 數學(雜項)
  • 應用數學

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