On partially ordered algebras over fields
E. E. Shirshova
Moscow State Pedagogical University
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.
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E. E. Shirshova, “On partially ordered algebras over fields”, Fundam. Prikl. Mat., 21:4 (2016), 249–263
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\paper On partially ordered algebras over fields
\jour Fundam. Prikl. Mat.
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