The dimension of a variety

Details The dimension of a variety The dimension of a variety

2006-02-22

arxiv.org/abs/math/0602493v2

published in Discussiones Mathematicae, General Algebra and Applications, 27, 2007, pp. 35--47

Mathematics

Logic

The results of the paper were presented at the workshop AAA71 and CYA21 at B\c{e}dlewo, Poland on February 11, 2006. the paper

Scientific paper

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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