Leavitt Path Algebras of Finite Gelfand-Kirillov Dimension
A. Alahmadi, H. Alsulami, S. K. Jain, E. Zelmanov
TL;DR
This paper investigates the algebraic structure of Leavitt path algebras with finite Gelfand-Kirillov dimension, providing foundational tools for their analysis.
Contribution
It derives Groebner-Shirshov bases and characterizes the Gelfand-Kirillov dimension for these algebras, advancing understanding of their algebraic properties.
Findings
Groebner-Shirshov basis for Leavitt path algebras
Characterization of finite Gelfand-Kirillov dimension
Foundational tools for algebraic analysis
Abstract
Groebner-Shirshov basis and Gelfand-Kirillov dimension of the Leavitt path algebra are derived.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models