We exhibit some classes of baric algebras over a field for which the K
rull-schmidt theorem, proved in the previous paper ''Indecomposable ba
ric algebras,'' is valid. We prove also that the commutative duplicate
of an indecomposable commutative baric algebra A such that A2 = A is
indecomposable. Two more examples of indecomposable baric algebras, re
levant in genetics, are given: linked and independent loci.