The rank of variants of nilpotent pseudovarieties
arXiv:1511.05442 · doi:10.1016/j.jalgebra.2022.06.009
Abstract
We investigate the rank of pseudovarieties defined by several of the variants of nilpotency conditions for semigroups in the sense of Mal'cev. For several of them, we provide finite bases of pseudoidentities. We also show that the Neumann-Taylor variant does not have finite rank.
41 pages