## On almost nilpotent varieties of linear algebras.(English)Zbl 07445617

Di Vincenzo, Onofrio Mario (ed.) et al., Polynomial identities in algebras. Proceedings of the INDAM workshop, Roma, Italy, September 16–20, 2019. Cham: Springer. Springer INdAM Ser. 44, 291-317 (2021).
Summary: A variety $$\mathcal{V}$$ is almost nilpotent if it is not nilpotent but all proper subvarieties are nilpotent. Here we present the results obtained in recent years about almost nilpotent varieties and their classification.
For the entire collection see [Zbl 1461.16003].

### MSC:

 17A30 Nonassociative algebras satisfying other identities 16P90 Growth rate, Gelfand-Kirillov dimension 16R10 $$T$$-ideals, identities, varieties of associative rings and algebras

### Keywords:

varieties; almost nilpotent; codimension growth
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### References:

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