Regular solid varieties of semigroups
by
Joerg Koppitz

In Order to get a better insight into the lattice of all varieties of semigroups we consider complete lattices, namely the lattices of all M-solid varieties of semigroups, where M is a monoid of hypersubstitutions. A hypersubstitution is a mapping which maps the binary operation symbol to a binary term. Special hypersubstitutions are regular hypersubstitutions. They map the binary operation symbol to binary terms which are not unary. The set of all regular hypersubstitutions forms a monoid Reg. We want to describe the lattice of all Reg-solid varieties of semigroups, in particular, we characterize the greatest one and the commutative part.

Date received: June 5, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiv-19.