Results 1 to 10 of about 105,746 (263)
On Zero-Symmetric Left Centrally Prime Near-Rings [PDF]
Kirkuk Journal of Science, 2007 Our aim in this paper is: to give some properties of zero-symmetric left centrally prime near-rings, then looking for those conditions which make zero-symmetric left centrally prime near-rings abelian, so that several conditions are given under which ...
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On Jordan ideals with left derivations in 3-prime near-rings [PDF]
Extracta Mathematicae, 2023 We will extend in this paper some results about commutativity of Jordan ideals proved in [2] and [6]. However, we will consider left derivations instead of derivations, which is enough to get good results in relation to the structure of near-rings.
A. En-guady, A. Boua
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Generalized Left Derivations with Identities on Near-Rings
مجلة بغداد للعلوم, 2023 In this paper, new concepts which are called: left derivations and generalized left derivations in nearrings have been defined. Furthermore, the commutativity of the 3-prime near-ring which involves some algebraic identities on generalized left ...
Enaam Farhan
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On left strong radicals of near-rings [PDF]
Proceedings of the Edinburgh Mathematical Society, 1988 In this paper we shall deal with radicals γ of near-rings such that for every near-ring N its radical γ(N) contains all left ideals (left invariant subgroups, respectively) I of N with I∈γ. At first, examples of such radicals will be given. Then we shall prove that these radicals are hypersolvable and have hereditary semisimple classes.
Anderson, T., Kaarli, K., Wiegandt, R.
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Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 By a near-ring we mean a right near-ring. J0r, the right Jacobson radical of type 0, was introduced for near-rings by the first and second authors. In this paper properties of the radical J0r are studied. It is shown that J0r is a Kurosh-Amitsur radical
Ravi Srinivasa Rao +2 more
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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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P-properties in Near-rings [PDF]
Journal of Mathematical and Fundamental Sciences, 2019 In this paper, assuming that N is a near-ring and P is an ideal of N, the P-center of N, the P-center of an element in N, the P-identities of N are defined. Their properties and relations are investigated.
Akın Osman Atagün +3 more
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NEAR-RINGS WITH LEFT BAER LIKE CONDITIONS
Bulletin of the Korean Mathematical Society, 2008 Kaplansky introduced the Baer rings as rings in which every left (or right) annihilator of each subset is generated by an idempotent. On the other hand, Hattori introduced the left (resp. right) P.P. rings as rings in which every principal left (resp. right) ideal is projective.
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\((\alpha, \tau)\)-\(P\)-derivations on left near-rings [PDF]
, 2022 Summary: Suppose that \(\mathcal{N}\) is a near-ring and \(P\) is a 3-prime ideal of \(\mathcal{N}\). In this paper we introduce the notion of \((\alpha, \tau)\)-\(P\)-derivation in near-rings, we also study the structure of the quotient near-ring \(\mathcal{N}/P\) which satisfies certain algebraic identities involving \((\alpha, \tau)\)-\(P ...
Mouhssine, Samir, Boua, Abdelkarim
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On Jordan ideals with generalized left derivations in 3-prime near-rings [PDF]
, 2023 Summary: In this paper, we will extend some results on the commutativity of Jordan ideals proved in [the third author, Iraqi J. Sci. 62, No. 6, 1961--1967 (2021; \url{doi:10.24996/ijs.2021.62.6.21}); the first author et al., Commentat. Math. Univ. Carol. 55, No. 2, 131--139 (2014; Zbl 1314.16033)].
Boua, Abdelkarim +2 more
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