Results 171 to 180 of about 337 (185)

Centralizer Near-Rings Determined by Unions of Groups

Results in Mathematics, 1987
Let \(P=\{G_{\alpha}\); \(\alpha\in A\}\) be a set of disjoint groups, \(X=\cup_{\alpha \in A}G_{\alpha}\). Let S be a monoid of functions on X such that \(\sigma\in S\) induces homomorphisms from each \(G_{\alpha}\) to some \(G_{\beta}\). Define \(M_ S(X,P)=\{f: X\to X\); \(f(G_{\alpha})\subseteq G_{\alpha}\) for all \(\alpha\in A\), \(f\sigma =\sigma
Fuchs, Peter, Maxson, C. J., Smith, K. C.   +2 more
openaire   +1 more source

Centralizer near-rings determined by PID-modules

Archiv der Mathematik, 1991
Let G be a finitely generated module over a principal ideal domain D and let \(M_ D(G)\) be the centralizer near-ring determined by \(G_ D\). Structural properties of \(M_ D(G)\) such as simplicity and semisimplicity are characterized in terms of the invariants of \(G_ D\).
Fuchs, Peter, Maxson, C. J.
openaire   +2 more sources

NEAR-RINGS WITH P-CENTRAL P-NILPOTENT OR P IDEMPOTENT ELEMENTS

JP Journal of Algebra, Number Theory and Applications, 2018
Summary: Let \(P\) be an ideal of a near-ring. In this study, we introduce \(P\)-nilpotent element of a near-ring with properties. Also, we show that each element which of both \(P\)-nilpotent and \(P\)-idempotent is only an element of the ideal \(P\).
Kamacı, Hüseyin, Atagün, Akın Osman
openaire   +2 more sources

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

Simplicity of Some Nonzero-Symmetric Centralizer Near-Rings

1995
Let G be a group written additively with 0 and 5 a semigroup of endomorphisms of G.
openaire   +1 more source

Invariant subnear-rings of regular centralizer near-rings

Archiv der Mathematik, 1983
Maxson, C. J., Meldrum, J. D. P., Oswald, A.   +2 more
openaire   +2 more sources

Centralizer near-rings determined by completely regular inverse semigroups

Semigroup Forum, 1981
Maxson, Carlton J., Smith, Kirby C.
openaire   +2 more sources

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  

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

Communications in Algebra, 1999
Leon Van Wyk
exaly