Certain algorithmic problems for Lie algebras

@article{Shirshov1999CertainAP,
  title={Certain algorithmic problems for Lie algebras},
  author={A. I. Shirshov},
  journal={SIGSAM Bull.},
  year={1999},
  volume={33},
  pages={3-6}
}
This short paper describes work similar to that appearing in Buchberger's 1965 thesis inventing Gröbner bases, but in the context of Lie Algebras. Preceding Buchberger by only three years, this paper, along with the two cited references, are the original papers defining what have become known as Gröbner-Shirshov bases. 

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Undecidability of the word problem for one-relator inverse monoids via right-angled Artin subgroups of one-relator groups

  • R. Gray
  • Mathematics
    Inventiones mathematicae
  • 2019
We prove the following results: (1) There is a one-relator inverse monoid $$\mathrm {Inv}\langle A\,|\,w=1 \rangle $$ Inv ⟨ A | w = 1 ⟩ with undecidable word problem; and (2) There are one-relator