Results 1 to 10 of about 58 (46)

On Derivations of Centralizer Near-rings

Taiwanese Journal of Mathematics, 2011
It is proved that if a centralizer near-ring N has a nonzero derivation, then N is a near-field.
Fong, Y., Wang, C.-S.
exaly   +3 more sources

The Lattice of Left Ideals in a Centralizer Near-Ring is Distributive [PDF]

Proceedings of the American Mathematical Society, 1982
A decomposition theorem for a left ideal in a finite centralizer near-ring is established. This result is used to show that the lattice of left ideals in a finite centralizer near-ring is distributive.
Kirby C Smith
exaly   +3 more sources

Distributively Generated Centralizer Near-Rings [PDF]

Proceedings of the American Mathematical Society, 1983
Let G G be a finite group.
Maxson, C. J., Smith, K. C.
openaire   +1 more source

Centralizer near-rings that are endomorphism rings [PDF]

Proceedings of the American Mathematical Society, 1980
For a finite ring R with identity and a finite unital R -module V the set C
Maxson, Carlton J., Smith, Kirby C.
openaire   +1 more source

Centralizer near-rings that are rings [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1995
AbstractGiven an R-module M, the centralizer near-ring ℳR (M) is the set of all functions f: M → M with f(xr)= f(x)r for all x ∈ M and r∈R endowed with point-wise addition and composition of functions as multiplication. In general, ℳR(M) is not a ring but is a near-ring containing the endomorphism ring ER(M) of M. Necessary and/or sufficient conditions
Hausen, Jutta, Johnson, Johnny A.
openaire   +2 more sources

Distributive elements in centralizer near-rings [PDF]

Proceedings of the Edinburgh Mathematical Society, 1987
Let <G,+> be a group with identity 0 and let S be a semigroup of endomorphisms of G. The set Ms(G)={f:G→G; f(0)=0, fσ=σf, for all σ∈S} with the operations of unction addition and composition is a zero-symmetric near-ring with identity called the centralizer near-ring determined by the pair (S, G). Centralizer near-rings have been studied for many
Maxson, C. J., Meldrum, J. D. P.
openaire   +1 more source

Simple near-ring centralizers of finite rings [PDF]

Proceedings of the American Mathematical Society, 1979
For a finite ring R with identity and a finite unital R -module V we call C
Maxson, Carlton J., Smith, Kirby C.
openaire   +2 more sources

A generalization of centralizer near-rings [PDF]

Proceedings of the Edinburgh Mathematical Society, 1985
Let G be a group with identity 0 and let be a group of automorphisms of G. The centralizer near-ring determined by G and is the set for all α∈ and f(0)=0}, forming a near-ring under function addition and function composition. This class of nea-rings has been extensively studied (for example see [1], [2], [5] and [6]) and it is known that every ...
openaire   +2 more sources

Endomorphism Rings are Centralizer Near-rings

GANIT: Journal of Bangladesh Mathematical Society, 2016
For a finite ring R with identity and a finite unital R-module V the set C(R; V) = {f : V ->V : f(?v) = ?f(v) for all ? ? R, v ? V} is the centralizer near-ring determined by R and V. Rings R for witch C(R; V) is a ring for every R-module V, are characterized. Conditions are given under which C(R; V) is a semisimple centralizer near ring.
Satrajit Kumar Saha, Md Rezaul Islam
openaire   +2 more sources

Centralizer near-rings over free ring modules [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991
AbstractWe treat centralizer near-rings over ring modules in general, with particular emphasis on the case of free modules. Questions like the following are answered. When is the near-ring a nonring? When is the near-ring simple? What are its maximal and minimal left ideals? What is its subgroup structure? What is the radical?
C. J. Maxson, A. P. J. Van Der Walt
openaire   +1 more source