Results 1 to 10 of about 158,268 (326)
Division algebras of prime degree with infinite genus [PDF]
, 2014 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 the Brauer group Br(F), where D' is a central division F-algebra having the same maximal subfields as D.
Sergey V. Tikhonov
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A cohomology-based Gromov–Hausdorff metric approach for quantifying molecular similarity [PDF]
Scientific ReportsWe introduce a cohomology-based Gromov–Hausdorff ultrametric method to analyze 1-dimensional and higher-dimensional (co)homology groups, focusing on loops, voids, and higher-dimensional cavity structures in simplicial complexes, to address typical ...
JunJie Wee +3 more
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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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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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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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Transactions of the American Mathematical Society, 1921 ? 1. The object of this paper is to develop some of the simpler properties of division algebras, that is to say, linear associative algebras in which division is possible by any element except zero. The determination of all such algebras in a given field is one of the most interestiiig problems in the theory of linear algebras. Early in the development
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Indecomposable Division Algebras [PDF]
Proceedings of the American Mathematical Society, 1992 We present a direct construction of indecomposable division algebras of all indices p n {p^n} and exponents p m ( n ≥ m ≥ 2 ) {p^m}(n \geq m \geq 2) that does not rely on generic ...
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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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