Results 1 to 10 of about 2,459,145 (179)

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   +3 more sources

Primitive near-rings [PDF]

open access: yes, 1970
The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
core   +8 more sources

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

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   +6 more
core   +1 more source

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

Smarandache near-rings [PDF]

open access: yes, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core   +1 more source

The structure of balanced rings [PDF]

open access: yes, 1973
Dlab V, Ringel CM. The structure of balanced rings. Proceedings of the London Mathematical Society.
Dlab, Vlastimil, Ringel, Claus Michael
core   +1 more source

A generalization of centralizer near-rings [PDF]

open access: yesProceedings 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

Centralizer near-rings over free ring modules [PDF]

open access: yesJournal 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

Rings with the double centralizer property [PDF]

open access: yes, 1972
Dlab V, Ringel CM. Rings with the double centralizer property. Journal of algebra.
Dlab, Vlastimil, Ringel, Claus Michael
core   +1 more source

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