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The endomorphism near-ring of an infinite dihedral group*
Published online by Cambridge University Press: 14 February 2012
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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