Results 161 to 170 of about 337 (185)

Centralizer near-rings determined by PID-modules, II

Periodica Mathematica Hungarica, 1993
[For part I cf. Arch. Math. 56, No. 2, 140-147 (1991; Zbl 0706.16026).] The authors answer an open problem in radical theory by giving an example of a zero-symmetric simple near-ring with identity such that \(J_ 2(N) = N\). This is in contrast to the situation for rings, since every simple ring with identity is semisimple in the sense of Jacobson.
C J Maxson, A P J Van Der Walt, K Kaarli   +2 more
exaly   +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.
exaly   +2 more sources

Rings which are a Homomorphic Image of a Centralizer Near-Ring

1995
In this work the near-rings under consideration will be exclusively centralizer near-rings M A(G) where G is a finite group and A is a group of automorphisms of G.
Kirby C Smith
exaly   +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.
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

Centralizer representations of near-fields

Journal of Algebra, 1984
Let G be a group, S a semigroup of endomorphisms of G, and let GS;G denote the centralizer near-ring of identity-preserving functions on G which commute with the elements of S.
C J Maxson
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

Generalized skew derivations with centralizer conditions on multilinear polynomials

Beitrage Zur Algebra Und Geometrie, 2017
Let R be a noncommutative prime ring of characteristic not 2 with extended centroid C, the maximal right ring of quotients Q and a nonzero generalized skew derivation d.
Munevver Pinar Eroglu
exaly   +2 more sources