Abstract
A variety for any type of abstract algebras is an equationally defined class. Such classes were first studied by Birkhoff [35], who proved in 1935 that a class of algebras is a variety exactly if it is closed under homomorphic images, subalgebras and direct products. B. H. Neumann [37] initiated their study for groups. This beginning led to considerable activity in the field of varieties of groups, with many results collected in H. Neumann’s survey [N]. In the early 70’s Jorge Martinez [72b],[74a] began the study of varieties of l-groups, which has since become a very active area in the field. A particularly influential paper in the area is by Glass, Holland and McCleary [80].
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