Geodesic
On partially ordered algebras over fields
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 4, pp. 249-263

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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. 
@article{FPM_2016_21_4_a9,
     author = {E. E. Shirshova},
     title = {On partially ordered algebras over fields},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {249--263},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_4_a9/}
}
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E. E. Shirshova. On partially ordered algebras over fields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 4, pp. 249-263. http://geodesic.mathdoc.fr/item/FPM_2016_21_4_a9/