arXiv:math/0602493 Abstract

arXiv:math/0602493 [math.LO]Abstract References Reviews Resources

The dimension of a variety

Published 2006-02-22, updated 2006-05-27Version 2

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.

Comments: 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 is submitted to Discussiones Mathematicae Algebra and Stochastc Methods, special issue

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

Categories: math.LO, cs.LO, math.GM

Subjects: 08B99, 08A40

Keywords: general algebraic structures, regular bands, subvarieties, cardinality

Tags: journal article

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