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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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I-vague ideals in near-rings [PDF]
Journal of Hyperstructures, 2021 In this paper the authers study the concepts of I-Vague sub near-rings and I-Vague ideals in near-rings. Some propertiesare illustrated corresponding to I-Vague sub near-rings and I-Vague ideals in near-rings with an example.
Pritam Vijaysigh Patil +1 more
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On the primeness of near-rings [PDF]
Arab Journal of Mathematical Sciences, 2020 In this paper, we study the different kinds of the primeness on the class of near-rings and we give new characterizations for them. For that purpose, we introduce new concepts called set-divisors, ideal-divisors, etc.
Khalid H. Al-Shaalan
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Some New Results on Near Fields
Tikrit Journal of Pure Science, 2022 In this paper, we considered investigating some properties of near fields and new results are obtained. In particular, we investigated some conditions under which some near rings become near fields.
Ehab A. Hussein, Sinan O. Alsalihi
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ON COMMUTATIVITY OF PRIME NEAR RINGS [PDF]
Matrix Science Mathematic, 2021 In this paper, we prove commutativity of prime near rings by using the notion of β-derivations. Let M be a zero symmetric prime near ring. If there exist p ≥ 0, q ≥ 0 and a nonzero two sided β-derivation d on M, where β : M → M is a homomorphism, such ...
Abdul Rauf Khan +2 more
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Anti-Fuzzy Multi-Ideals of Near Ring
Mathematics, 2021 Recently, fuzzy multisets have come to the forefront of scientists’ interest and have been used for algebraic structures such as groups, rings, and near rings.
Sarka Hoskova-Mayerova +1 more
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On vague ideals in near-rings [PDF]
Journal of Hyperstructures, 2023 Using Vague ideals of near-ring R, authors introduce the concepts of normal vague ideals, complete vague ideals and maximal vague ideals of near-ring R with few properties.
Pritam Vijaysigh Patil, J.D. Yadav
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Journal of Hyperstructures, 2019 Soft set theory, proposed by Molodstov has been regarded as an effective mathematical tool to deal with uncertainties. Vague set is a set of objects, each of which has a grade of membership whose value is a continuous subinterval of [0,1].
Sushama Vijaykumar Patil +1 more
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Fundamentals of Contemporary Mathematical Sciences, 2022 The aim of this study is to introduce nearness Γ-near ring, nearness Γ-subnear ring and nearness Γ-ideal. Moreover, some properties of these structures are investigated.
Baki ÇOKAKOĞLU, Mustafa UÇKUN
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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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