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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
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Abstract

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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.

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