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Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
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Universal corner symmetry and the orbit method for gravity
Nuclear Physics B, 2023 A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
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Post-Lie algebras in Regularity Structures
Forum of Mathematics, Sigma, 2023 In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
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On the Category of EQ-algebras
Bulletin of the Section of Logic, 2021 In this paper, we studied the category of EQ-algebras and showed that it is complete, but it is not cocomplete, in general. We proved that multiplicatively relative EQ-algebras have coequlizers and we calculated coproduct and pushout in a special case ...
Narges Akhlaghinia +3 more
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On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras
International Journal of Mathematics and Mathematical Sciences, 2020 The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established.
F. B. H. Jamjoom, A. H. Al Otaibi
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Pseudo-free families and cryptographic primitives
Journal of Mathematical Cryptology, 2022 In this article, we study the connections between pseudo-free families of computational Ω\Omega -algebras (in appropriate varieties of Ω\Omega -algebras for suitable finite sets Ω\Omega of finitary operation symbols) and certain standard cryptographic ...
Anokhin Mikhail
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Robustness of Interval Monge Matrices in Fuzzy Algebra
Mathematics, 2020 Max–min algebra (called also fuzzy algebra) is an extremal algebra with operations maximum and minimum. In this paper, we study the robustness of Monge matrices with inexact data over max–min algebra.
Máté Hireš +2 more
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On even spin W ∞ $$ {\mathcal{W}}_{\infty } $$
Journal of High Energy Physics, 2020 We study the even spin W ∞ $$ {\mathcal{W}}_{\infty } $$ which is a universal W -algebra for orthosymplectic series of W $$ \mathcal{W} $$ -algebras. We use the results of Fateev and Lukyanov to embed the algebra into W 1 + ∞ $$ {\mathcal{W}}_{1+\infty }
Tomáš Procházka
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The Reticulation of a Universal Algebra [PDF]
Scientific Annals of Computer Science, 2018 The reticulation of an algebra A is a bounded distributive lattice L(A) whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of A, endowed with the Stone topologies.
G. Georgescu, C. Mureșan
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Modularizing the Elimination of r=0 in Kleene Algebra [PDF]
Logical Methods in Computer Science, 2005 Given a universal Horn formula of Kleene algebra with hypotheses of the form r = 0, it is already known that we can efficiently construct an equation which is valid if and only if the Horn formula is valid. This is an example of elimination of hypotheses,
Christopher Hardin
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