On partially ordered algebras over fields

Characteristics of partially ordered algebras over partially ordered fields are considered. Characteristics of ideals of $\mathcal K$-ordered algebras over directed fields are described. Properties of convex directed ideals in interpolation $\mathcal K$-ordered algebras over partially ordered fields are investigated. Some theorems are proved for ideals of linearly $\mathcal K$-ordered algebras over directed fields.