Abstract
We study prime monomial homomorphic images of the semigroup algebra of the subsemigroup of the 2-generated free 3-nilpotent group generated by the (positive) group generators. In particular, we show that they are either PI of linear growth or primitive just-infinite of quadratic growth. This partially answers a question of Okniński.
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Bauer, T., Greenfeld, B. Prime monomial ideals of algebras of subsemigroups of free nilpotent groups. Isr. J. Math. 241, 527–538 (2021). https://doi.org/10.1007/s11856-021-2103-7
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DOI: https://doi.org/10.1007/s11856-021-2103-7