On the structure of subalgebra systems of idempotent entropic algebras (Q1114726)

The paper continues the study of subalgebra systems initiated in the preceding one (see Zbl 0663.08001). In the present part the subalgebra systems of idempotent entropic algebras (or IEO-semilattices) are investigated by means of various decomposition methods. The attention is focused on the decomposition of meet-distributive bisemilattices since these algebras play an essential role in the structure of IEO- semilattices. Simultaneously the corresponding methods for recovering the original idempotent entropic algebras from their decompositions are given. It is shown that the generalized Płonka sum is a useful tool for reconstruction of some idempotent entropic algebras.