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Feature-based encoding of face identity by single neurons in the human amygdala and hippocampus. [PDF]
Cao R +13 more
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BcDKM: Blockchain-Based Dynamic Key Management Scheme for Crowd Sensing in Vehicular Sensor Networks. [PDF]
Zhang M, Meng R, Zhang L.
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Multivariate Frequency and Amplitude Estimation for Unevenly Sampled Data Using and Extending the Lomb-Scargle Method. [PDF]
Seilmayer M, Wondrak T, Garcia F.
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Online level-2 perspective taking for newly learnt symbols. [PDF]
Pető R, Elekes F, Király I.
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Axonemal dynein contributions to flagellar beat types and waveforms
Fochler S +8 more
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Symmetric identities in graded algebras
Archiv der Mathematik, 1997The interest in the symmetric polynomial identity \[ P_n(x_1,\ldots,x_n)=\sum_{\sigma\in S_n}x_{\sigma(1)}\ldots x_{\sigma(n)} \] in the theory of PI-algebras originates from the fact that over a field of characteristic 0 this identity is equivalent to the nil identity and the Nagata-Higman theorem gives that the algebra is nilpotent. The recent result
Bahturin, Y. A. +2 more
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On algebras satisfying symmetric identities
Archiv der Mathematik, 1994Consider the non-commutative polynomials \[ s_ n = \sum_{\pi \in \text{Sym}(n)} x_{\pi(1)} \dots x_{\pi(n)}\quad \text{and} \quad d_ n = \sum_{\pi \in \text{Sym}(n)} x_{\pi(1)} y_ 1 \dots y_{n - 1} x_{\pi(n)}. \] Let \(R\) be an algebra over a field of characteristic \(p > 0\). We show that if \(s_ n = 0\) (\(d_ n = 0\), resp.) is a polynomial identity
M. Domokos
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ANTI-COMMUTATIVE ALGEBRAS WITH SKEW-SYMMETRIC IDENTITIES
Journal of Algebra and Its Applications, 2009Generalizing Lie algebras, we consider anti-commutative algebras with skew-symmetric identities of degree > 3. Given a skew-symmetric polynomial f, we call an anti-commutative algebra f-Lie if it satisfies the identity f = 0. If sn is a standard skew-symmetric polynomial of degree n, then any s4-Lie algebra is f-Lie if deg f ≥ 4. We describe a free
A. Dzhumadil'daev
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Identities of symmetric and skew-symmetric matrices in characteristicp
Rendiconti del Circolo Matematico di Palermo, 1995This paper is related to the Konstant-Rowen extension to skew-symmetric matrices of the Amitsur-Levitzki identity. A general method is provided, based on a graph theoretic approach, for deriving extensions of known permanental-type identities to skew-symmetric and symmetric matrices over a commutative ring of prime characteristic.
Révész, Gábor, Szigeti, Jenő
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