# 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 $\mathbb A$.

#### References

SHOWING 1-10 OF 14 REFERENCES

The Relationship Between Two Commutators

- Mathematics, Computer Science
- Int. J. Algebra Comput.
- 1998