Results 61 to 70 of about 676,834 (301)
Prime (-1, 1) Rings with Idempotent [PDF]
Proceedings of the American Mathematical Society, 1967 Algebras of type \((\gamma,\delta)\)) were first defined by \textit{A. A. Albert} [Port. Math. 8, 23--36 (1949; Zbl 0033.15401)]. In a 1963 paper [Proc. Am. Math. Soc. 14, 110--117 (1963; Zbl 0108.26101)] \textit{C. Maneri} showed that a simple \((-1,1)\) ring with a nontrivial idempotent and characteristic prime to 6 must be associative.
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
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Generalized Derivations on Prime Near Rings
International Journal of Mathematics and Mathematical Sciences, 2013 Let N be a near ring. An additive mapping f:N→N is said to be a right generalized (resp., left generalized) derivation with associated derivation d on N if f(xy)=f(x)y+xd(y) (resp., f(xy)=d(x)y+xf(y)) for all x,y∈N.
Asma Ali, Howard E. Bell, Phool Miyan
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The Metric Dimension and Local Metric Dimension of Relative Prime Graph
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 This study aims to determine the value of metric dimensions and local metric dimensions of relative prime graphs formed from modulo integer rings, namely . As a vertex set is and if and are relatively prime.
Inna Kuswandari +2 more
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A THEOREM ON DERIVATIONS ON PRIME RINGS [PDF]
Journal of the Australian Mathematical Society, 2011 AbstractLet R be a prime ring, let I be a nonzero ideal of R and let n be a fixed positive integer. We prove that if the characteristic of R is either 0 or a prime p that is greater than 2n, then an additive map d that satisfies d(xn+1)=∑ nj=0xn−jd(x)xj for all x∈I must be a derivation.
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FEBS Letters, EarlyView.Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell +2 more
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On commutativity of prime and semiprime rings with generalized derivations
Ratio Mathematica, 2020 Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits a generalized derivation $F$ associated with a derivation $d$ such that $(F(x)\circ y)^{m}+(x\circ d(y))^{n}=0$ or $(F(x)\circ_{m} y)^{k} + x\circ_{n} d ...
MD Hamidur Rahaman
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On the iterates of derivations of prime rings [PDF]
Pacific Journal of Mathematics, 1983 In this paper we study properties of associative derivations whose iterates are related in rather special ways to the original derivation, or to the iterates of another derivation. An associative derivation d: R -» R is an additive (or linear when appropriate) mapping on a ring R satisfying d(xy) — xd(y) 4- d(x)y for all x, y G R.
Martindale, W. S., Miers, C. Robert
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Structural and biochemical analysis of a B12 superbinder
FEBS Letters, EarlyView.BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices +3 more
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FEBS Letters, EarlyView.Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav +2 more
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