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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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A NOTE ON β-DERIVATIONS IN PRIME NEAR RING [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 prime near ring. If there exist p,q ϵ M and two sided nonzero β-derivation f on M, where β:M→M is a homomorphism, satisfying the following ...
Abdul Rauf Khan +2 more
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Intersections of essential minimal prime ideals [PDF]
, 2013 Let $\mathcal{Z(R)}$ be the set of zero divisor elements of a commutative ring $R$ with identity and $\mathcal{M}$ be the space of minimal prime ideals of $R$ with Zariski topology. An ideal $I$ of $R$ is called strongly dense ideal or briefly $sd$-ideal
Taherifar, A.
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Seipin accumulates and traps diacylglycerols and triglycerides in its ring-like structure
Proceedings of the National Academy of Sciences of the United States of America, 2020 Significance Metabolic disorders related to aberrant fat accumulation, including lipodystrophy and obesity, are a serious health concern. Inside cells, fat accumulates in organelles named lipid droplets (LDs).
Valeria Zoni +6 more
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Conjugates in prime rings [PDF]
Transactions of the American Mathematical Society, 1971 Let R be a prime ring with identity, center ZO GF(2), and a nonidentity idempotent. If R is not finite and if x E R-Z, then x has infinitely many distinct conjugates in R. If R has infinitely many Z-independent elements then x E R-Z has infinitely many Z-independent conjugates.
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Representations of prime rings [PDF]
Transactions of the American Mathematical Society, 1953 This paper is a continuation of the study of prime rings started in [2]. We recall that a prime ring is a ring having its zero ideal as a prime ideal. A right (left) ideal I of a prime ring R is called prime if abCI implies that acI (bCI), a and b right (left) ideals of R with b5O (aXO).
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Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Derivations in Prime Rings [PDF]
Proceedings of the American Mathematical Society, 1982 Let R R be a ring and d ≠ 0 d \ne 0 a derivation of R R such that d ( x n ) = 0 d({x^n}) = 0 , n = n ( x ) ⩾ 1
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Smarandache Completely Semi Prime Ideal With Respect To An Element Of A Near Ring
Journal of Kufa for Mathematics and Computer, 2014 In this paper ,we introduce the notions of smarandache completely semi prime ideal (S.C.S.P.I),and smarandache completely semi prime ideal with respect to an element x of a near ring N denoted by (x-S.C.S.P.I) , and smarandache ...
Hussien Hadi Abass +1 more
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Derivations in Prime Rings [PDF]
Proceedings of the American Mathematical Society, 1957 We prove two theorems that are easily conjectured, namely: (1) In a prime ring of characteristics not 2, if the iterate of two derivations is a derivation, then one of them is zero; (2) If d is a derivation of a prime ring such that, for all elements a of the ring, ad(a) -d(a)a is central, then either the ring is commutative or d is zero. DEFINITION. A
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