Results 11 to 20 of about 124,800 (224)
Non-commutative probability and non-commutative processes [PDF]
Journal of Mathematical Physics, 2019 A probability space is a pair ($\mathcal{A},\phi $) where $\mathcal{A}$ is an algebra and $\phi $ a state on the algebra. In classical probability $\mathcal{A}$ is the algebra of linear combinations of indicator functions on the sample space and in ...
Mendes, R. Vilela
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A fuzzy bipolar celestial sphere
Journal of High Energy Physics, 2019 We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy ...
Francesco Alessio, Michele Arzano
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A combinatorial non-commutative Hopf algebra of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Combinatorics
Adrian Tanasa +4 more
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Non-commutative Hopf algebra of formal diffeomorphisms
Advances in Mathematics, 2006 The subject of this paper are two Hopf algebras which are the non-commutative analogues of two different groups of formal power series. The first group is the set of invertible series with the multiplication, while the second group is the set of formal diffeomorphisms with the composition.
Christian Brouder +2 more
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Non-commutative computer algebra and molecular computing [PDF]
Computer Science Journal of Moldova, 2001 Non-commutative calculations are considered from the molecular computing point of view. The main idea is that one can get more advantage in using molecular computing for non-commutative computer algebra compared with a commutative one.
Svetlana Cojocaru, Victor Ufnarovski
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Reticulation of Quasi-commutative Algebras [PDF]
Journal of Mahani Mathematical Research, 2023 The commutator theory, developed by Fresee and McKenzie in the framework of a congruence-modular variety $\mathcal{V}$, allows us to define the prime congruences of any algebra $A\in \mathcal{V}$ and the prime spectrum $Spec(A)$ of $A$.
G. Georgescu
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The key exchange protocol based on non-commutative elements of Clifford algebra [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Many of the asymmetric cryptography protocols are based on operations performed on commutative algebraic structures, which are vulnerable to quantum attacks.
Chukanov, Sergei N.
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Invariants in Non-Commutative Variables of the Symmetric and Hyperoctahedral Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We consider the graded Hopf algebra $NCSym$ of symmetric functions with non-commutative variables, which is analogous to the algebra $Sym$ of the ordinary symmetric functions in commutative variables.
Anouk Bergeron-Brlek
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Filters in Strong BI-Algebras and Residuated Pseudo-SBI-Algebras
Mathematics, 2020 The concept of basic implication algebra (BI-algebra) has been proposed to describe general non-classical implicative logics (such as associative or non-associative fuzzy logic, commutative or non-commutative fuzzy logic, quantum logic).
Xiaohong Zhang, Xiangyu Ma, Xuejiao Wang
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Journal of High Energy Physics, 2021 The Poisson gauge algebra is a semi-classical limit of complete non- commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a corresponding ...
Vladislav G. Kupriyanov
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