Residual Smallness and Weak Centrality

@article{Kearnes2003ResidualSA,
  title={Residual Smallness and Weak Centrality},
  author={K. Kearnes and E. W. Kiss},
  journal={Int. J. Algebra Comput.},
  year={2003},
  volume={13},
  pages={35-60}
}
We develop a method of creating skew congruences on subpowers of finite algebras using groups of twin polynomials, and apply it to the investigation of residually small varieties generated by nilpotent algebras. We prove that a residually small variety generated by a finite nilpotent (in particular, a solvable E-minimal) algebra is weakly abelian. Conversely, we show in two special cases that a weakly abelian variety is residually bounded by a finite number: when it is generated by an E-minimal… Expand

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