## Diego Vaggione

Full Professor and Head of the Universal Algebra Research Group at FaMAF

## Contact information

 Office: 371 Phone: +54 351 4334051 (371) Email: vaggione @ famaf . unc . edu .ar Vitae: [Spanish]

## Research Interests

Universal algebra and Model Theory.

## Some recent papers

1. X. Caicedo, M. Campercholi, K. A. Kearnes, P. Sánchez Terraf, Á. Szendrei, and D. Vaggione, “Every minimal dual discriminator variety is minimal as a quasivariety,” Algebra universalis 82 (2) p. 36 (2021).
[ Download PDF | Abstract | BibTeX ]

Let $\dagger$ denote the following property of a variety $\mathcal{V}$: \emph{Every subquasivariety of $\mathcal{V}$ is a variety}. In this paper, we prove that every idempotent dual discriminator variety has property $\dagger$ . Property $\dagger$ need not hold for nonidempotent dual discriminator varieties, but $\dagger$ does hold for \emph{minimal} nonidempotent dual discriminator varieties. Combining the results for the idempotent and nonidempotent cases, we obtain that every minimal dual discriminator variety is minimal as a quasivariety

@article{minimal-dual-quasi,
author = {Caicedo, Xavier and Campercholi, Miguel and Kearnes, Keith A. and S{\'a}nchez Terraf, Pedro and Szendrei, {\'A}gnes and Vaggione, Diego},
year = 2021,
title = {Every minimal dual discriminator variety is minimal as a quasivariety},
journal = {Algebra universalis},
month = {Apr},
day = 29,
volume = 82,
number = 2,
pages = 36,
abstract = {Let $\dagger$ denote the following property of a variety $\mathcal{V}$: \emph{Every subquasivariety of $\mathcal{V}$ is a variety}. In this paper, we prove that every idempotent dual discriminator variety has property $\dagger$ . Property $\dagger$ need not hold for nonidempotent dual discriminator varieties, but $\dagger$ does hold for \emph{minimal} nonidempotent dual discriminator varieties. Combining the results for the idempotent and nonidempotent cases, we obtain that every minimal dual discriminator variety is minimal as a quasivariety},
issn = {1420-8911},
doi = {10.1007/s00012-021-00715-8},
url = {https://doi.org/10.1007/s00012-021-00715-8}
}

2. D. Vaggione, “Baker-Pixley theorem for algebras in relatively congruence distributive quasivarieties.,” Int. J. Algebra Comput. 29 (3) p. 459–480 (2019). Zbl 1428.08002
[ BibTeX ]
@article{zbMATH07062402,
author = {D. {Vaggione}},
title = {{Baker-Pixley theorem for algebras in relatively congruence distributive quasivarieties.}},
fjournal = {{International Journal of Algebra and Computation}},
journal = {{Int. J. Algebra Comput.}},
issn = {0218-1967; 1793-6500/e},
volume = {29},
number = {3},
pages = {459--480},
year = {2019},
publisher = {World Scientific, Singapore},
language = {English},
msc2010 = {08A40 03C40 08B10 08C15},
zbl = {1428.08002}
}

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