Abstract
SynopsisIn this paper, we determine the semigroup End D of endomorphisms of the infinite dihedral group D, and give a multiplication table for it. We determine the additive structure of the near-rings E(D) generated by the endomorphisms of D, A(D) generated by the automorphisms of D and I(D) generated by the inner automorphisms of D, and determine their radicals and all their maximal right ideals.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. The Group Distributively Generated Near-Ring
2. Finite dihedral groups and d.g. near-rings I;Malone;Compositio Math.,1972
3. Endomorphism near-rings
4. Finite dihedral groups and d.g. near-rings II;Malone;Compositio Math.,1973
5. Ein Radikal f�r Fastringe
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. John David Philip Meldrum, 1940–2018;Bulletin of the London Mathematical Society;2021-08
2. Endomorphism Near-Rings Through the Ages;Near-Rings and Near-Fields;1995
3. On the Structure of Certain 2-Tame Near-Rings;Near-Rings and Near-Fields;1995
4. Endomorphism nearrings of odd generalized dihedral groups;Journal of Algebra;1989-12
5. D.G. Near-Rings on the Infinite Dihedral Group;Near-Rings and Near-Fields, Proceedings of a Conference held at the University of Tübingen, F.R.G.;1987