Results 11 to 20 of about 4,836 (268)
On (m, k) -type elements in the ring of integers modulo n [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 An element a in a ring R is said to be of (m, k)-type if a m = a k where m and k are positive integers with m > k ≥ 1. Let Xn(m, k) be the set of all (m, k)-type elements, X * n(m, k) be the set of all nonzero (m, k)-type elements, and Sn(m, k) be ...
Phoschanun Ratanaburee +2 more
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A study of various results for a class of entire Dirichlet series with complex frequencies [PDF]
Mathematica Bohemica, 2018 Let $F$ be a class of entire functions represented by Dirichlet series with complex frequencies $\sum a_k {\rm e}^{\langle\lambda^k, z\rangle}$ for which $(|\lambda^k|/{\rm e})^{|\lambda^k|} k!|a_k|$ is bounded.
Niraj Kumar, Garima Manocha
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Division Algebras with Left Algebraic Commutators [PDF]
Algebras and Representation Theory, 2017 لنفترض أن D عبارة عن جبر قسمة مع المركز F و K a (ليس بالضرورة مركزيًا) من D. يسمى العنصر a D جبريًا يساريًا (جبريًا أيمنًا) على K، إذا كان هناك متعدد حدود أيسر غير صفري a 0 + a 1 x + i + a n x n (متعدد الحدود الأيمن resp. a 0 + x a 1 + i + x n a n ) على K بحيث يكون 0 + a 1 a + i + a n a n = 0 (resp. a 0 + a 1 + i + a n a n a n ).
Mehdi Aaghabali +2 more
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ON SELBERG-TYPE SQUARE MATRICES INTEGRALS [PDF]
Journal of Algebraic Systems, 2013 In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under ...
Mohammad Arashi
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On genus of division algebras [PDF]
manuscripta mathematica, 2020 The genus $gen(D)$ of a finite-dimensional central division algebra $D$ over a field $F$ is defined as the collection of classes $[D']\in Br(F)$, where $D'$ is a central division $F$-algebra having the same maximal subfields as $D$. We show that the fact that quaternion division algebras $D$ and $D'$ have the same maximal subfields does not imply that ...
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Riesz Representation Theorem on Bilinear Spaces of Truncated Laurent Series
Journal of Mathematical and Fundamental Sciences, 2017 In this study a generalization of the Riesz representation theorem on non-degenerate bilinear spaces, particularly on spaces of truncated Laurent series, was developed.
Sabarinsyah +2 more
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Selectivity in division algebras [PDF]
Archiv der Mathematik, 2014 A commutative order in a central simple algebra over a number field is said to be selective if it embeds in some, but not all, the maximal orders in the algebra. We completely characterize selective orders in central division algebras, of dimension 9 or greater, in terms of the characterization of selective orders given by Chindburg and Friedman in the
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Divisibility in Douglas algebras.
Michigan Mathematical Journal, 1984 If \(L^{\infty}\), \(H^{\infty}\) denote the usual Banach algebras on the unit circle, then a closed subalgebra B, \(H^{\infty}\subset B\subset L^{\infty}\), is called a Douglas algebra. The authors are concerned here with the divisibility problem in B. Their main result is: If \(h\in B\) and \(u\in L^{\infty}\), \(\| u\|
Axler, Sheldon, Gorkin, Pamela
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Division algebras and supersymmetry II [PDF]
Advances in Theoretical and Mathematical Physics, 2011 25 ...
Baez, John C, Huerta, John
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Fractal and Fractional, 2023 Very recently, a different generalization of real-valued neural networks (RVNNs) to multidimensional domains beside the complex-valued neural networks (CVNNs), quaternion-valued neural networks (QVNNs), and Clifford-valued neural networks (ClVNNs) has ...
Călin-Adrian Popa
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