# Some Operators that Preserve the Locality of a Pseudovariety of Semigroups

@article{Costa2013SomeOT, title={Some Operators that Preserve the Locality of a Pseudovariety of Semigroups}, author={Alfredo Costa and Ana Paula Escada}, journal={Int. J. Algebra Comput.}, year={2013}, volume={23}, pages={583-610} }

It is shown that if π΅ is a local monoidal pseudovariety of semigroups, then πͺ β π΅, π£ β π΅ and are local. Other operators of the form πΉ β(_) are considered. In the process, results about the interplay between operators πΉ β(_) and (_) * π£k are obtained.Β

## 3 Citations

Bases for pseudovarieties closed under bideterministic product

- MathematicsAlgebra universalis
- 2019

We show that if $\mathsf V$ is a semigroup pseudovariety containing the finite semilattices and contained in $\mathsf {DS}$, then it has a basis of pseudoidentities between finite products of regularβ¦

Locality and Centrality: The Variety ZG

- MathematicsArXiv
- 2021

It is shown that ZG is local, that is, the semidirect product ZG β D of ZG by definite semigroups is equal to LZG, the variety of semig groups where all local monoids are in ZG.

Quantifier Alternation in Two-Variable First-Order Logic with Successor Is Decidable

- Mathematics, Computer ScienceSTACS
- 2013

It is shown that it is decidable for a given regular language and a non-negative integer m, whether the language is definable by a formula in FO^2[<,suc] which has at most m quantifier alternations.

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