Article contents
Totally commutative semigroups
Published online by Cambridge University Press: 09 April 2009
Abstract
A semigroup is totally commutative if each of its essentially binary polynomials is commutative, or equivalently, if in every polynomial (word) every two essential variables commute. In the present paper we describe all varieties (equational classes) of totally commutative semigroups, lattices of subvarieties for any variety, and their free spectra.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 51 , Issue 3 , December 1991 , pp. 381 - 399
- Copyright
- Copyright © Australian Mathematical Society 1991
References
- 6
- Cited by