Results 61 to 70 of about 249,196 (276)
Canonical traces and directly finite Leavitt path algebras
, 2015 Motivated by the study of traces on graph $C^*$-algebras, we consider traces (additive, central maps) on Leavitt path algebras, the algebraic counterparts of graph $C^*$-algebras.
Vas, Lia
core +1 more source
Leavitt Path Algebras of Hypergraphs [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2019 We define Leavitt path algebras of hypergraphs generalizing simultaneously Leavitt path algebras of finitely separated graphs and Leavitt path algebras of row-finite vertex-weighted graphs. We find linear bases for those algebras, compute their Gelfand-Kirillov dimension, obtain some results on ring-theoretic properties like simplicity, von Neumann ...
openaire +2 more sources
Distinct Biotypes of Visual Perception in Major Depressive Disorder
Advanced Science, EarlyView.In a discover dataset (272 acute MDD patients), this work identifies a novel depression biotype characterized by impaired visual motion perception, using machine learning clustering. An independent dataset confirms the robustness of this biotype through cross‐validation and demonstrates its generalizability.
Zhuoran Cai +13 more
wiley +1 more source
Atomic Bases and $T$-path Formula for Cluster Algebras of Type $D$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We extend a $T$-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type $D$.
Emily Gunawan, Gregg Musiker
doaj +1 more source
Baer and Baer *-ring characterizations of Leavitt path algebras
, 2017 We characterize Leavitt path algebras which are Rickart, Baer, and Baer $*$-rings in terms of the properties of the underlying graph. In order to treat non-unital Leavitt path algebras as well, we generalize these annihilator-related properties to ...
Hazrat, Roozbeh, Vas, Lia
core +1 more source
Corners of Leavitt path algebras of finite graphs are Leavitt path algebras [PDF]
Journal of Algebra, 2020 24 pages.
Abrams, Gene, Nam, Tran Giang
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Ultra‐Wide‐Field Noninvasive Imaging Through Scattering Media Via Physics‐Guided Deep Learning
Advanced Science, EarlyView.We propose a physics‐guided adaptive dual‐domain learning method for ultra‐wide‐field noninvasive imaging through scattering media, namely UNI‐Net. Our method not only reduces the requirement for real experimental data by an order of magnitude but also enables clear imaging of complex scenes with an ultra‐large field of view, which is 164 times the OME
Lintao Peng +5 more
wiley +1 more source
MathematicsThe study of algebraic invariants associated with Brauer configuration algebras induced by appropriate multisets is said to be a Brauer analysis of the data that define the multisets.
Agustín Moreno Cañadas +4 more
doaj +1 more source
Applied Sciences, 2019 Robotics is a highly developed field in industry, and there is a large research effort in terms of humanoid robotics, including the development of multi-functional empathetic robots as human companions.
Hai Van Pham +3 more
doaj +1 more source
Using Algebra Graph Representation to Detect Pairwise-Constraint Software Faults
IEEE Access, 2020 Automatic fault detection, localization, and repairing have always been a research hot spot. Because software faults can appear anywhere in a software, it is impossible to automatically repair all types of faults.
Yong Wang +5 more
doaj +1 more source