The endomorphism near-rings of the symmetric groups of degree at least five-Reference-Cited by-同舟云学术

The endomorphism near-rings of the symmetric groups of degree at least five

Published:1980-09 Issue:1 Volume:30 Page:37-49
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Fong Y.,Meldrum J. D. P.

Abstract

AbstractThe near-ring distributively generated by the semigroup of all endomorphisms of Sn, the symmetric group of degree n, for n ≥ 5, is close to being the near-ring of all mappings from Sn to itself respecting the identity. In this paper, the structure of these near-rings is studied in detail. In particular, addition and multiplication rules for the elements given in canonical form are determined. A complete list of all right ideals, left ideals, right invariant and left invariant subgroups is given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

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