Results 61 to 70 of about 267,178 (229)
A computational approach to analyze the Hadamard quasigroup product
Electronic Research Archive, 2023 Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as a natural generalization of the classical Hadamard product of matrices. The successive iteration of this new product is endowed with
Raúl M. Falcón +5 more
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Bimultiplications and Annihilators of Crossed Modules in Associative Algebras
Journal of New Theory, 2021 In this paper, we present a generalization of the concept of the bimultiplication algebra by defining the bimultiplication of crossed modules in associative algebras.
Ummahan Ege Arslan, Serdar Hürmetli
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On squares of representations of compact Lie algebras [PDF]
Journal of Mathematical Physics, 2015 We study how tensor products of representations decompose when restricted from a compact Lie algebra to one of its subalgebras. In particular, we are interested in tensor squares which are tensor products of a representation with itself. We show in a classification-free manner that the sum of multiplicities and the sum of squares of multiplicities in ...
Zeier, R., Zimborás, Zoltán
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Quadratic equations in Swedish textbooks for upper-secondary school
LUMAT, 2021 This paper analyzes the content and tasks involving quadratic equations in eight mathematics textbooks published during the period 2000-2012 at the upper-secondary level in Sweden.
Wang Wei Sönnerhed
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Certain functors of nilpotent Lie algebra with the derived subalgebra of dimension two [PDF]
J. Algebra Appl. 19 (2020), no. 1, 2050012, 11 pp, 2017 By considering the nilpotent Lie algebra with the derived subalgebra of dimension $ 2$, we compute some functors include the Schur multiplier, the exterior square and the tensor square of these Lie algebras. We also give the corank of such Lie algebras.
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Sums of squares in octonion algebras [PDF]
Proceedings of the American Mathematical Society, 2005 Sums of squares in composition algebras are investigated using methods from the theory of quadratic forms. For any integerm≥1m\geq 1octonion algebras of level2m2^mand of level2m+12^m+1are constructed.
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The Squaring Operation and the Singer Algebraic Transfer
Vietnam Journal of Mathematics, 2020 38 pages. Theorems 1.3 and 1.8 of this paper have already been announced in Comptes Rendus Mathematique, Volume 354, Issue 9, 2016. The readers can find some papers related to this paper, available online at arXiv:1609.02250, arXiv:1607.01095, arXiv:1502.05569, arXiv:1412.3309, arXiv:1412.1709. arXiv admin note: substantial text overlap with arXiv:1609.
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On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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The squaring operation on ${\cal A}$-generators of the Dickson algebra [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2009 AbstractWe study the squaring operation Sq0 on the dual of the minimal -generators of the Dickson algebra. We show that this squaring operation is isomorphic on its image. We also give vanishing results for this operation in some cases. As a consequence, we prove that the Lannes–Zarati homomorphism vanishes (1) on every element in any finite Sq0-family
Hưng, Nguyên H. V., Quỳnh, Võ T. N.
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A Relational Semantics for Ockham’s Modalities
Axioms, 2023 This article aims at providing some extension of the modal square of opposition in the light of Ockham’s account of modal operators. Moreover, we set forth some significant remarks on the de re–de dicto distinction and on the modal operator of ...
Davide Falessi, Fabien Schang
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