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The centralizer of the general linear group

Published online by Cambridge University Press:  20 January 2009

C. J. Maxson  and
A. Oswald
C. J. Maxson
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843, USA
A. Oswald
Affiliation:
Department of Mathematics and Statistics, Teesside Polytechnic, BOROUGH ROAD MIDDLESBROUGH, CLEVELAND TS1 3BA, UK
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Let G be a group, written additively with identity 0, but not necessarily abelian and let S be a semigroup of endomorphisms of G. The set for all is a zero-symmetric near-ring with identity under the operations of function addition and composition, called the centralizer near-ring determined by the pair (S, G). Centralizer near-rings are general, for if N is any zero-symmetric near-ring with identity then there exists a group G and a semigroup S⊇ G such that For background material and definitions relative to near-rings in general we refer the reader to the book by Pilz [7]. For material on centralizer near-rings we refer the reader to [4] and [6].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 1 , February 1984 , pp. 73 - 89
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

REFERENCES

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