Results 11 to 20 of about 2,842,218 (178)
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.
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An Orthogonal Left Centralizer and Reverse Left Centralizer on Semiprime -Rings
, 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
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, 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
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Generalized Higher Left Centralizer of Prime Γ-Rings [PDF]
, 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
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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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SMARANDACHE NEAR-RINGS AND THEIR GENERALIZATIONS [PDF]
, 2002 In this paper we study the Smarandache semi-near-ring and nearring, homomorphism, also the Anti-Smarandache semi-near-ring. We obtain some interesting results about them, give many examples, and pose some problems.
Vasantha Kandasamy, W.B.
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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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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
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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
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