The dimension of a variety
<|reference_start|>The dimension of a variety: We invent the notion of a {\it dimension of a variety} $V$ as the cardinality of all its proper {\it derived} subvarieties (of the same type). The dimensions of varieties of lattices, varieties of regular bands and other general algebraic structures are determined.<|reference_end|>
@article{graczyńska2006the,
    title={The dimension of a variety},
    author={Ewa Graczy'nska and Dietmar Schweigert},
    journal={published in Discussiones Mathematicae, General Algebra and
  Applications, 27, 2007, pp. 35--47},
    year={2006},
    archivePrefix={arXiv},
    eprint={math/0602493},
    primaryClass={math.LO cs.LO math.GM}
}