Published June 20, 2023 | Version v1
Dataset Open

Systems for equational additivity

  • 1. Institute of Discrete Mathematics and Geometry, TU Wien
  • 2. Johannes Kepler Universität Linz

Description

This dataset contains code to verify that the solution sets of certain systems of equations over finite algebras are equal to the relation \(\Delta^{(4)}_A\), which ensures that the clone of that algebra possesses a property called equational additivity. Moreover, we have added code that produces input files for the universal algebra calculator (uacalc), which simplifies the check of certain claims in our paper ‘On when the union of two algebraic sets is algebraic’.

Files

check_of_systems_of_equations.txt

Files (538.6 kB)

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Additional details

Related works

Is cited by
Preprint: 10.48550/arXiv.2309.00478 (DOI)
Is supplement to
Preprint: 10.48550/arXiv.2309.00478 (DOI)
References
Software: https://uacalc.org/ (URL)
Preprint: 10.48550/arXiv.2309.00478 (DOI)

Funding

Equations in Universal Algebra P 33878
FWF Austrian Science Fund