Bases for partially commutative Lie algebras

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

In this paper, linear bases for the partially commutative Lie algebras are
found. The method of the Gr\"{o}bner--Shirshov bases is used. It easily follows
from the structure that the equality problem is algorithmically solvable for
the partially commutative Lie algebras.

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