Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-14T09:15:22.471Z Has data issue: false hasContentIssue false

Free bands and free *-bands

Published online by Cambridge University Press:  18 May 2009

J. A. Gerhard
Affiliation:
University Of Manitoba, Winnipeg, Canada
Mario Petrich
Affiliation:
University Of Manitoba, Winnipeg, Canada
Rights & Permissions [Opens in a new window]

Extract

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.

The word problem for free bands (idempotent semigroups) was solved by Green and Rees [4] in an early paper. They also established certain properties of the free band. This was followed by McLean [6] who provided a general structure theory for bands with some indication as to the structure of the free band. Since then a great many papers have appeared dealing with various aspects of the topic of bands and their varieties. A different solution of the word problem for free bands was recently given by Siekmann and Szabó [9]. For a discussion of bands, see the books [5] and [8].

Information

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1986