Cancellation and skew cancellation for Poisson algebras

نویسندگان

چکیده

We study the Zariski cancellation problem for Poisson algebras in three variables. In particular, we prove those with bracket either being quadratic or derived from a Lie algebra are cancellative. also use various invariants, including Makar–Limanov invariant, divisor subalgebra, and stratiform length, to skew algebras.

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2022

ISSN: ['1432-1823', '0025-5874']

DOI: https://doi.org/10.1007/s00209-022-03026-3