Article ID Journal Published Year Pages File Type
4589077 Journal of Algebra 2006 11 Pages PDF
Abstract

We consider certain abundant semigroups in which the idempotents form a subsemigroup, and which we call bountiful semigroups. We find a simple criterion for a finite bountiful semigroup to be a member of the join of the pseudovarieties of finite groups and finite aperiodic semigroups.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory