Results 1 to 10 of about 336 (186)

Distributively Generated Centralizer Near-Rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1983
Let G G be a finite group.
Maxson, C. J., Smith, K. C.
openaire   +3 more sources

Centralizer near-rings that are endomorphism rings [PDF]

open access: yesProceedings 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   +3 more sources

Simple near-ring centralizers of finite rings [PDF]

open access: yesProceedings 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   +4 more sources

On Derivations of Centralizer Near-rings

open access: yesTaiwanese 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]

open access: yesProceedings 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

An Orthogonal Left Centralizer and Reverse Left Centralizer on Semiprime -Rings [PDF]

open access: yes, 2022
Let M be a semiprime G-ring . In this paper we introduce the concept of orthogonal left centralizer and reverse left centralizer on a semiprime G- ring and we prove the following       main result: Let M be a 2-torsion free semiprime ...
Fawaz Ra\u27ad Jarullah , Yilmaz Çeven
core   +5 more sources

Generalized Higher Left Centralizer of Prime Γ-Rings [PDF]

open access: yes, 2022
In this paper we introduce the concepts of generalized higher left centralizer and generalized Jordan higher left centralizer of  Γ-rings M as well as we proved that every generalized Jordan higher left centralizer of certain Γ-ring M is generalized ...
salih, Salah Mehdi   +2 more
core   +2 more sources

Characterization and commuting probability of n-centralizer finite rings [PDF]

open access: yes, 2023
Let R be a finite ring. The commuting probability of R is the probability that any two randomly chosen elements of R commute. A ring R is called an n-centralizer ring if it has n distinct centralizers.
Nath, Rajat Kanti   +2 more
core   +1 more source

Centralizer near-rings that are rings [PDF]

open access: yesJournal 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]

open access: yesProceedings 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

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