Results 1 to 10 of about 54 (38)

Distributively Generated Centralizer Near-Rings [PDF]

Proceedings of the American Mathematical Society, 1983
Let G G be a finite group. A \mathcal {A} a group of automorphisms of G G and C ( A ; G ) \mathcal {C}\left ( {\mathcal {A};G} \right ) the ...
Maxson, C. J., Smith, K. C.
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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 ( R ; V ) = { f : V → V | f ( α v ) = α f ( v ) C(R;V) = \{ f:V \to V|f(\alpha v) = \alpha f(v)
Maxson, Carlton J., Smith, Kirby C.
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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.
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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.
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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 ( R ) = { f : V → V | f ( α v ) = α f ( v ) C(R) = \{ f:V \to V|f(\alpha v) = \alpha f(v) for all
Maxson, Carlton J., Smith, Kirby C.
openaire   +4 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   +3 more sources

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.
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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 ...
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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
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Generalized blocked triangular matrix rings associated with finite abelian centralizer near-rings [PDF]

Proceedings of the Edinburgh Mathematical Society, 1998
ForNany member of a large class of finite abelian right centralizer near-rings, the subring of the ring End(N) of endomorphisms of (N, +) generated by the set of right multiplication maps onNis explicitly described as a generalized blocked triangular matrix ring, which in some cases turns out to be a structural matrix ring.
Smith, Kirby C., van Wyk, Leon
openaire   +2 more sources