dg near rings on the infinite dihedral group

Author:

Malone J. J.

Abstract

SynopsisIt is shown that exactly six non-isomorphic distributively generated near rings can be defined on the infinite dihedral group. One has the null multiplication, two have trivial multiplications in which the group of left annihilators has index two, and three are distributive and have their product sets equal to a subgroup of order 2.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Finite dihedral groups and d.g. near rings II;Lyons;Compositio Math.,1973

2. Finite dihedral groups and d.g. near rings I;Malone;Compositio Math.,1972

3. Near-Rings with Trivial Multiplications

4. The endomorphism near-ring of an infinite dihedral group

Cited by 4 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. Left Self-Distributive Rings and Nearrings;Near-Rings and Near-Fields;2001

2. Left self distributive near-rings;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1990-10

3. 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

4. Bibliography;Near-Rings - The Theory and its Applications;1977

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