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The dimension of a variety

Ewa Graczyńska·Dietmar Schweigert
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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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Ewa Graczyńska, Dietmar Schweigert. 2006-02-22. The dimension of a variety. https://arxiv.org/abs/math/0602493

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