Results 31 to 40 of about 249,196 (276)
On the representations of Leavitt path algebras
Journal of Algebra, 2011 Given a graph E we define E-algebraic branching systems, show their existence and how they induce representations of the associated Leavitt path algebra. We also give sufficient conditions to guarantee faithfulness of the representations associated to E-algebraic branching systems and to guarantee equivalence of a given representation (or a restriction
Gonçalves, Daniel, Royer, Danilo
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Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras [PDF]
Algebras and Representation Theory, 2020 Let $K$ be a field. We characterise the row-finite weighted graphs $(E,w)$ such that the weighted Leavitt path algebra $L_K(E,w)$ is isomorphic to an unweighted Leavitt path algebra. Moreover, we prove that if $L_K(E,w)$ is locally finite, or Noetherian, or Artinian, or von Neumann regular, or has finite Gelfand-Kirillov dimension, then $L_K(E,w)$ is ...
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k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we consider Leavitt path algebras having coefficients in a k-semifield. Concentrating on the aspect of k-simplicity, we find a set of necessary and sufficient conditions for the k-simplicity of the Leavitt path algebra LS(Γ) of a directed ...
Gupta Raibatak Sen, Sen M.K.
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Commutator Leavitt Path Algebras [PDF]
Algebras and Representation Theory, 2012 For any field K and directed graph E, we completely describe the elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E),L_K(E)]. We then use this result to classify all Leavitt path algebras L_K(E) that satisfy L_K(E)=[L_K(E),L_K(E)].
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Tropical algebra for noise removal and optimal control
Journal of Low Frequency Noise, Vibration and Active Control, 2023 Algorithms for noise removal are either complex or ineffective, and the optimal control with inequality constrains makes the algorithm even more complex.
Chun-Mei Gong, Jiao Peng, Jing Wang
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A Heyting Algebra on Dyck Paths of Type $A$ and $B$ [PDF]
, 2016 In this article we investigate the lattices of Dyck paths of type $A$ and $B$ under dominance order, and explicitly describe their Heyting algebra structure.
Mühle, Henri
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On the Signature of a Path in an Operator Algebra
Symmetry, Integrability and Geometry: Methods and Applications, 2022 We introduce a class of operators associated with the signature of a smooth path $X$ with values in a $C^{\star}$ algebra $\mathcal{A}$. These operators serve as the basis of Taylor expansions of solutions to controlled differential equations of interest in noncommutative probability.
Gilliers, Nicolas, Bellingeri, Carlo
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Completions of Leavitt path algebras [PDF]
Bulletin of Mathematical Sciences, 2016 We introduce a class of topologies on the Leavitt path algebra $L(Γ)$ of a finite directed graph and decompose a graded completion $\widehat{L}(Γ)$ as a direct sum of minimal ideals.
Alahmadi, Adel, Alsulami, Hamed
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Correspondences among CFTs with different W-algebra symmetry
Nuclear Physics B, 2020 W-algebras are constructed via quantum Hamiltonian reduction associated with a Lie algebra g and an sl(2)-embedding into g. We derive correspondences among correlation functions of theories having different W-algebras as symmetry algebras.
Thomas Creutzig +3 more
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An Algebra of Synchronous Scheduling Interfaces [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 In this paper we propose an algebra of synchronous scheduling interfaces which combines the expressiveness of Boolean algebra for logical and functional behaviour with the min-max-plus arithmetic for quantifying the non-functional aspects of synchronous ...
Michael Mendler
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