Abstract
Let A denote the class of all aperiodic monoids with central idempotents. A description of all Cross subvarieties of A, based on identities that they satisfy and monoids that they cannot contain, is given. The two limit subvarieties of A, published by Marcel Jackson in 2005, turn out to be the only finitely generated, almost Cross subvarieties of A. It follows that it is decidable in quartic time if a finite monoid in A generates a Cross variety. © European Mathematical Society.
| Original language | American English |
|---|---|
| Pages (from-to) | 425–429 |
| Number of pages | 5 |
| Journal | Portugaliae Mathematica |
| Volume | 68 |
| Issue number | 4 |
| DOIs | |
| State | Published - Nov 17 2011 |
ASJC Scopus Subject Areas
- General Mathematics
Keywords
- Monoid
- Aperiodic monoid
- Central idempotent
- Variety
- Cross variety
Disciplines
- Mathematics
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