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Near-rings whose laminated near-rings are Boolean
Near-rings whose laminated near-rings are Booleanopenaire
Canadian Mathematical Bulletin, 1969 In this paper we introduce the concept of Boolean near-rings. Using any Boolean ring with identity, we construct a class of Boolean near-rings, called special, and determine left ideals, ideals, factor near-rings which are Boolean rings, isomorphism classes, and ideals which are near-ring direct summands for these special Boolean near-rings.Blackett [6]
Clay, James R., Lawver, Donald A.
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Matrix Near-rings over Centralizer Near-rings
Algebra Colloquium, 2000In the most widely accepted definition of matrix near-rings [\textit{J. D. P. Meldrum} and \textit{A. P. J. van der Walt}, Arch. Math. 47, 312-319 (1986; Zbl 0611.16025)], there are two obvious ways of linking ideals in the base near-ring to ideals in the matrix near-ring.
Smith, Kirby C., van Wyk, Leon
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Special radicals of near-rings and Γ-near-rings
Periodica Mathematica Hungarica, 1994All near-rings are 0-symmetric and right distributive. A \(\Gamma\)-near- ring \((M, +, \Gamma)\) is a set \(M\) and a set of binary operators \(\Gamma\) on \(M\) such that \((M, +, \gamma)\) is a near-ring for each \(\gamma \in \Gamma\), and a generalized associative law holds.
Booth, G. L., Veldsman, S.
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Acta Mathematica Hungarica, 1997
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Groenewald, N. J., Olivier, W. A.
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Groenewald, N. J., Olivier, W. A.
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Archiv der Mathematik, 1986
Until this article, there has not been an acceptable approach to the concept of a near-ring of matrices over an arbitrary near-ring. The authors overcome the inherent problems associated with arrays and are motivated by the fact that for a ring, each matrix represents an endomorphism of \((R^ n,+)\) and as such it is derived from the endomorphisms of ...
Meldrum, J. D. P. +1 more
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Until this article, there has not been an acceptable approach to the concept of a near-ring of matrices over an arbitrary near-ring. The authors overcome the inherent problems associated with arrays and are motivated by the fact that for a ring, each matrix represents an endomorphism of \((R^ n,+)\) and as such it is derived from the endomorphisms of ...
Meldrum, J. D. P. +1 more
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New Mathematics and Natural Computation, 2019
In this paper, we consider the problem of how to define [Formula: see text]-nearness ring in the sense of Nobusawa theory which extends the notion of a nearness ring and [Formula: see text]-rings [N. Nobusawa, Osaka J. Math. 1 (1964) 81–89; M. A. Öztürk and E. İnan, Annals of Fuzzy Mathematics and Informatics 17(2) (2019) 115–131].
Mehmet Ali Öztürk, Young Bae Jun
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In this paper, we consider the problem of how to define [Formula: see text]-nearness ring in the sense of Nobusawa theory which extends the notion of a nearness ring and [Formula: see text]-rings [N. Nobusawa, Osaka J. Math. 1 (1964) 81–89; M. A. Öztürk and E. İnan, Annals of Fuzzy Mathematics and Informatics 17(2) (2019) 115–131].
Mehmet Ali Öztürk, Young Bae Jun
openaire +1 more source