The dimension of a variety

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.

arXiv commentThe results of the paper were presented at the workshop AAA71 and CYA21 at Bȩdlewo, Poland on February 11, 2006. the paper is submitted to Discussiones Mathematicae Algebra and Stochastc Methods, special issue

Cited by in corpus (1)

• On the problem of M-hyperquasivarieties