Results 121 to 130 of about 158 (145)

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.
exaly   +2 more sources

Distributor and j2-radical ideals of generalized centralizer near-rings

Communications in Algebra, 1997
In 1980, Maxson and Smith [1] determined the J2-radical ideal for the ceiitralizer near-ring MA(G), where A is a group of automorphisms over a group G. Further, in 1985, Smith [4] generalized MA(G) to the class of generalized ceiitralizer near-rings. In this paper we determine both the J2-radical and the distributor ideals for the class of generalized ...
exaly   +2 more sources

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

Communications in Algebra, 1996
Leon van Wyk
exaly   +2 more sources

The group of units of centralizer near-rings

Communications in Algebra, 1984
C J Maxson
exaly   +2 more sources

Centralizer Near-rings, Matrix Near-rings and Cyclic p-Groups

Algebra Colloquium, 2005
If G is a finite group and [Formula: see text] is a group of automorphisms of G, then it is known that the matrix near-ring [Formula: see text] is a subnear-ring of the centralizer near-ring [Formula: see text] for every m ≥ 2. Conditions are known under which [Formula: see text] is a proper subnear-ring of [Formula: see text], and if [Formula: see ...
Smith, Kirby C., van Wyk, Leon
openaire   +2 more sources

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

Centralizer Near-Rings Determined by End g

1995
Let G be a group. The structure of the centralizer near-ring M E (G) = {f: G → G | fσ = σf for every σ ∈ End G} is investigated for the cases in which G is a finitely generated abelian, characteristically simple, symmetric or generalized quaternion group.
openaire   +1 more source