Pre-strongly solid and left-edge (right-edge)-strongly solid varieties of semigroups
Sorasak Leeratanavalee, S. Phatchat · International Journal of Algebra · 2007
Generalized hypersubstitutions are mappings from the set of all fundamental operations into the set of all terms of the same language do not necessarily preserve the arities. Strong hyperidentities are identities which are closed under these generalized hypersubstitutions and a strongly solid variety is a variety which every its identity is a strong hyperidentity. In this paper we consider M-strongly solid varieties for some submonoids M of the monoid of all generalized hypersubstitutions and we also characterize all pre-strongly solid varieties of semigroups as well as the least and the greatest left-edge(right-edge)-strongly solid varieties of semigroups.