Right Chain Domains with Prescribed Value Holoid Original Research Article

Let H = Hi set membership, variant I (Gi, Ni) be the split holoid of a family of ordered groups Gi with convex subsets Ni that contain G+i, the positive cone of Gi, where I is an ordered index set. Then there exists a right invariant right chain domain R with H congruent with H(R), the associated value semigroup of nonzero principal right ideals of R.