Remarks on Finitely Presented Bands

Author

Joseph Lau

Status

Research Report 97-12
Date: 17 April 1997

Abstract

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

Key phrases

finitely presented bands. varieties of bands. free generators.

AMS Subject Classification (1991)

Primary: 20M05
Secondary: 20M07, 20M10

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