Representing subalgebras as retracts of finite subdirect powers

@article{Kearnes2020RepresentingSA,
  title={Representing subalgebras as retracts of finite subdirect powers},
  author={K. Kearnes and A. Rasstrigin},
  journal={arXiv: Group Theory},
  year={2020}
}
We prove that if $\mathbb A$ is an algebra that is supernilpotent with respect to the $2$-term higher commutator, and $\mathbb B$ is a subalgebra of $\mathbb A$, then $\mathbb B$ is representable as a retract of a finite subdirect power of $\mathbb A$. 

Figures from this paper

References

SHOWING 1-10 OF 14 REFERENCES
Some applications of higher commutators in Mal’cev algebras
Congruence modular varieties with small free spectra
Three remarks on the modular commutator
The Relationship Between Two Commutators
Characteristic subgroups of free groups
Higher commutator theory for congruence modular varieties
Commutator theory for congruence modular varieties
Is supernilpotence super nilpotence
...
1
2
...