強正則半群の自由積

As an analogous construction to inverse semigroups (see [4]), we shall give the free products in the varieties of orthodox semigroups and of bands defined by a given identity. However, if the variety is the set of [left, right] normal bands, we can describe it in a more useful form We shall discuss it in the later half of this paper. The notations and terminologies are those of [1] and [6], unless otherwise stated.