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17 papers · 1 filter
The matrix type of purely infinite simple Leavitt path algebras
Gene Abrams, Christopher Smith
Let denote the purely infinite simple unital Leavitt path algebra . We completely determine the pairs of positive integers for which there is an isomorphism of ma…
Automorphism groups of a graph and a vertex-deleted subgraph
Stephen G. Hartke, Hannah Kolb, Jared Nishikawa +1
Understanding the structure of a graph along with the structure of its subgraphs is important for several problems in graph theory. Two examples are the Reconstruction Conjecture a…
Science from the Moon: The NASA/NLSI Lunar University Network for Astrophysics Research (LUNAR)
Jack O. Burns, the LUNAR Consortium
The Moon is a unique platform for fundamental astrophysical measurements of gravitation, the Sun, and the Universe. Lacking a permanent ionosphere and, on the farside, shielded fro…
Least zero of a cubic form
T. D. Browning, R. Dietmann, P. D. T. A. Elliott
An effective search bound is established for the least non-trivial integer zero of an arbitrary integral cubic form in at least 17 variables.
The socle series of a Leavitt path algebra
Gene Abrams, Kulumani M. Rangaswamy, Mercedes Siles Molina
We investigate the ascending Loewy socle series of Leavitt path algebras for an arbitrary graph and field . We classify those graphs for which for…
Wreathes of Magnetism in Rapidly Rotating Suns
Benjamin P. Brown, Matthew K. Browning, Mark S. Miesch +2
When our Sun was young it rotated much more rapidly than now. Observations of young, rapidly rotating stars indicate that many possess substantial magnetic activity and strong axis…