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). [DOI]
    [ 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}
    }

Full list