Hostname: page-component-cb9f654ff-h4f6x Total loading time: 0 Render date: 2025-08-19T20:48:54.081Z Has data issue: false hasContentIssue false
  • English
  • Français

Free sub-bands of finitely presented bands

Published online by Cambridge University Press:  19 July 2001

JOSEPH LAU
JOSEPH LAU
Affiliation:
School of Mathematics and Statistics, University of Sydney, N.S.W. 2006, Australia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

For each variety of bands [Vscr], we give a formula for ϕ[Vscr](m,k), which is the largest integer such that for every band B in [Vscr] generated by m generators and k relations, there is a subset of the generators of size ϕ[Vscr](m,k) which generates a (relatively) free sub-band of B as a basis. We also determine the semilattice structure of a finitely presented band.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 1 , March 1999 , pp. 145 - 150
Copyright
1999 Glasgow Mathematical Journal Trust