Multiplicity type and subalgebra structure in universal algebras
Matthew Gould · Pacific Journal of Mathematics · 1968
By a universal algebra, or briefly, an algebra we shall here mean a pair where μ n is the cardinality of {fe F | / is w-ary}.The class of all algebras of multiplicity type μ is denoted K(μ).We shall study the relationship between the multiplicity type of an algebra and its family of subalgebras.To this end, we set S(A; F) = {B\φΦ BQA and (B F) is a subalgebra of (A; F}} and, for every multiplicity type μ, T(μ) = {S(A; F) I