Varieties of orthodox bands of groups
Mario Petrich · Pacific Journal of Mathematics · 1975
The principal aim of the present work is a determination of the lattice of all varieties of semigroups in the title as a direct product of the lattice of all varieties of bands and the lattice of all varieties of groups.The paper also contains certain information concerning lattice properties of these varieties and their defining identities. 1. Introduction.A considerable amount of literature is devoted to varieties of groups, a systematic study of this subject is the book [7] by H. Neumann.Varieties of semigroups have also attracted wide attention, most of the known results are summarized in the survey article [2] by T. Evans.The lattice of all varieties of bands was determined by Birjukov [1], Gerhard [4] and Fennemore [3]; some preliminary work in this direction was first performed by Kimura [6] and the author [8].