Finite Gröbner–Shirshov bases and faithful representations for Lee monoids

Journal of Algebra and Its Applications 2026

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Authors: Yanfeng Luo, Zhen Feng Jin, Wen Ting Zhang
DOI: 10.1142/s0219498827501696
Cited by: 0

Abstract

It is shown that every Lee algebra of finite rank admits a finite Gröbner–Shirshov basis, which is proved by constructing a finite complete rewriting system for the corresponding Lee monoid [Formula: see text] for each [Formula: see text]. Further, we explicitly construct a faithful representation for each [Formula: see text], and this faithful representation can be extended to the involution case.

Fields of Study & Subjects

Advanced Topics in Algebra semigroups and automata theory Advanced Algebra and Logic

Publication details

Journal / source
Journal of Algebra and Its Applications
Publication date
27 February 2026
Language
EN