We show how to construct all "forbidden divisors" for the pseudovaricty of not inherently nonfinitely based finite semigroups. Several other results concerning finite semigroups that generate an inherently nonfinitely based variety that is miminal amongst those generated by finite semigroups are obtained along the way. For example, aside from the variety generated by the well known six element Brandt monoid B1 2, a variety of this type is necessarily generated by a semigroup with at least 56 elements (all such semigroups with 56 elements are described by the main result).

Item Type:	Refereed Article
Research Division:	Mathematical Sciences
Research Group:	Pure Mathematics
Research Field:	Group Theory and Generalisations
Objective Division:	Expanding Knowledge
Objective Group:	Expanding Knowledge
Objective Field:	Expanding Knowledge in the Mathematical Sciences
UTAS Author:	Jackson, MG (Dr Marcel Jackson)
ID Code:	26106
Year Published:	2002
Web of Science® Times Cited:	1
Deposited By:	Mathematics
Deposited On:	2002-08-01
Last Modified:	2003-05-01
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