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The endomorphism near-ring of an infinite dihedral group*

Published online by Cambridge University Press:  14 February 2012

J. D. P. Meldrum
J. D. P. Meldrum
Affiliation:
Department of Mathematics, University of Edinburgh
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Synopsis

In 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 76 , Issue 4 , 1977 , pp. 311 - 321
Copyright
Copyright © Royal Society of Edinburgh 1977

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