The dimension of a variety

  • Graczyńska E
  • Schweigert D
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Abstract

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.

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Graczyńska, E., & Schweigert, D. (2007). The dimension of a variety. Discussiones Mathematicae - General Algebra and Applications, 27(1), 35. https://doi.org/10.7151/dmgaa.1117

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