On the variety of strict pseudosemilattices
Rings and Algebras
2019-07-01 v2
Abstract
A new model, in terms of finite bipartite graphs, of the free pseudosemilattice is presented. This will then be used to obtain several results about the variety SPS of all strict pseudosemilattices: (i) an identity basis for SPS is found, (ii) SPS is shown to be inherently non-finitely based, (iii) SPS is shown to have no irredundant identity basis, and (iv) SPS is shown to have no covers and to be meet-prime in the lattice of all varieties of pseudosemilattices. Some applications to e-varieties of locally inverse semigroups are also derived.
Keywords
Cite
@article{arxiv.1301.5485,
title = {On the variety of strict pseudosemilattices},
author = {K. Auinger and L. Oliveira},
journal= {arXiv preprint arXiv:1301.5485},
year = {2019}
}
Comments
31 pages. In this version a few typos have been corrected