Article contents
Research Article
Finite Dimensional Labeled Graph Algebras
Authors
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DEBENDRA BANJADE
Associate Professor, Department of Mathematics and Statistics, Coastal Carolina University, Conway, SC 29528-6054, USA
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Menassie Ephrem
Professor, Department of Mathematics and Statistics, Coastal Carolina University, Conway, SC 29528-6054, USA
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Dashiell Stevanovich
Department of Mathematics, Yale University, New Haven, CT 06520-8283, USA
Abstract
Given a directed graph E and a labeling L, one forms the labeled graph algebra by taking a weakly left-resolving labeled space (E, L, B) and considering a generating family of partial isometries and projections. In this paper, we discuss details in the formulation of the algebras, provide examples, and formulate a process that describes the algebra given the graph and a labelling.
Article information
Journal
Journal of Mathematics and Statistics Studies
Volume (Issue)
4 (3)
Pages
35-43
Published
2023-09-29
How to Cite
BANJADE, D., Ephrem, M., & Stevanovich, D. (2023). Finite Dimensional Labeled Graph Algebras. Journal of Mathematics and Statistics Studies, 4(3), 35-43. https://doi.org/10.32996/jmss.2023.4.3.5
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