Indecomposable baric algebras. II
The concept and properties of indecomposability for baric algebras having an idempotent of weight one were introduced in the review of Part I above [same journal 183, 223-236 (1993; Zbl 0811.17034)]. First, a sufficient condition to ensure that the commutative duplicate of a commutative indecomposable baric algebra is indecomposable, is established by the authors. Then, the notion of closed class is defined, and several theorems, giving examples of closed classes, are proved. In the last part, the gametic and zygotic algebras for \(k\) linked or independent loci are proved to be indecomposable.
scientific article; zbMATH DE number 519712