The dimension of a variety
Logic
2016-08-16 v2 Logic in Computer Science
General Mathematics
Abstract
We invent the notion of a {\it dimension of a variety} 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.
Keywords
Cite
@article{arxiv.math/0602493,
title = {The dimension of a variety},
author = {Ewa Graczyńska and Dietmar Schweigert},
journal= {arXiv preprint arXiv:math/0602493},
year = {2016}
}
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