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Certain near-rings are rings, II [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. Under
Howard E. Bell
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Fully idempotent near-rings and sheaf representations
International Journal of Mathematics and Mathematical Sciences, 1998 Fully idempotent near-rings are defined and characterized which yields information on the lattice of ideals of fully idempotent rings and near-rings.
Javed Ahsan, Gordon Mason
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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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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana +2 more
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A note on soft near-rings and idealistic soft near-rings
Filomat, 2011 Molodtsov introduced the theory of soft sets, which can be seen as an effective mathematical tool to deal with uncertainties, since it is free from the difficulties that the usual theoretical approaches have troubled. In this paper, we apply the definitions proposed by Ali et al. [M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some
Atagun, Akin Osman +2 more
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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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ON GENERALIZED ERIVATIONS OF SEMIPRIME NEAR-RINGS
Journal of Kufa for Mathematics and Computer, 2012 The main purpose of this paper is to study and investigate concerning a generalized derivations on semiprime near- rings,we give some results when N admsit to satisfy some conditions on 3-semiprime near- rings and 3-prime near-ring N ,we give some
Mehsin Jabel Atteya +1 more
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Embedding near-rings into polynomial near-rings [PDF]
Proceedings of the Edinburgh Mathematical Society, 1982 In this paper we will show that large classes of near-rings are embeddable into (or even isomorphic to) near-rings Gν[x] of polynomials over G in a suitably chosen variety ν of Ω-groups.For near-rings see [2], for polynomials [1]; for near-rings of polynomials over Ω-groups see [3] [4], [5].
Meldrum, John D. P. +2 more
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, 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
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HUBUNGAN DERIVASI PRIME NEAR-RING DENGAN SIFAT KOMUTATIF RING
E-Jurnal Matematika, 2017 Near-rings are generalize from rings. A research on near-ring is continous included a research on prime near-rings and one of this research is about derivation on prime near-rings.
PRADITA Z. TRIWULANDARI +2 more
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