Results 131 to 140 of about 156 (140)

When is a centralizer near-ring isomorphic to a matrix near-ring? Part 2

2001
Let G be a finite group and A a group of automorphisms of G. It is always the case that for every integer n ≥ 2 the matrix near-ring \( \mathbb{M}_n \)(M A (G);G) is a subnear-ring of the centralizer near-ring M A (G n ). We find conditions such that \( \mathbb{M}_n \)(M A (G);G) is a proper subset of M A (G n ).
Alan Oswald, Kirby C. Smith, Leon van Wyk   +2 more
openaire   +1 more source

Centraliser near-rings determined by fixed point free automorphism groups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
SynopsisLet G be a group and let A be a fixed point free group of automorphisms of G. It is shown that the centraliser near-ring MA(G) has at most one nontrivial ideal. Conditions on the pair (A, G) are given which force MA(G) to be simple. It is shown that if a nonsimple near-ring MA(G) exists, then A and G have unusual properties.
Fuchs, Peter, Maxson, C. J., Pettet, M. R., Smith, K. C.   +3 more
openaire   +2 more sources

The centralizer near-ring of an inverse semigroup of endomorphisms of a group

Communications in Algebra, 1995
Let G be a group and S an inverse semigroup of endomorphisms of G. The simplicity of the centralizer near- ring MS(G) = {fe M(G)‖foα = αo f, ∀αeS} is characterized. The necessary and sufficient conditions are given for simplicity of Ms(G) in terms of the structure of G and S.
openaire   +1 more source

A STUDY ON NEAR-RINGS WITH SEMI-CENTRAL IDEMPOTENTS

Far East Journal of Mathematical Sciences (FJMS), 2015
openaire   +1 more source

On centralizer rings and characters of representations of finite groups

Mathematische Zeitschrift, 1968
Charles W Curtis
exaly  

Centralizer representations of near-fields

Journal of Algebra, 1984
C J Maxson
exaly  

Centralizer Near-Rings Determined by Unions of Groups

Resultate Der Mathematik, 2013
C J Maxson, Maxson C J
exaly  

Link between a natural centralizer and the smallest essential ideal in structural matrix rings

Communications in Algebra, 1999
Leon Van Wyk
exaly  

Rings with the double centralizer property

Journal of Algebra, 1972
Vlastimil Dlab, Claus Michael Ringel
exaly  

Jordan bi-(left centralizer, reverse left centralizer) on prime rings

AIP Conference Proceedings
exaly