For monoids (which are associative) the Krohn–Rhodes theorem gives a powerful decomposition result: every finite monoid is a quotient of a submonoid of an alternating wreath product of finite groups and monoids. Google suggests that Joel Wanderwerf may have generalized this theorem to arbitrary algebras in a 1996 article for the Semigroup Forum journal, but I don't have access to this Springer journal so I can't say for sure.
2 of 2
fixed broken link to springerlink.com; added full citation in tooltip
The Amplitwist
- 1.4k
- 3
- 11
- 22
Neel Krishnaswami
- 9.2k
- 1
- 30
- 54