Small inherently nonfinitely based finite semigroups |
| |
| Authors: | Marcel Jackson |
| |
| Institution: | (1) School of Mathematics and Physics The University of Tasmania Hobart, Australia, AU;(2) now at Department of Mathematics La Trobe University Victoria 3086, Australia m.g.jackson@latrobe.edu.au, AU |
| |
| Abstract: | We show how to construct all ``forbidden divisors' for the pseudovariety 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 \tb , 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).
September 23, 1999 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
