Geodesic
Prime radicals of directed pseudo-ordered algebras over directed fields
Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2020) no. 3, pp. 215-230

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Characteristics of partially pseudo-ordered ($\mathcal K$-ordered) algebras are considered. Properties of ideals and order homomorphisms in partially pseudo-ordered algebras are described. A variation of the concept of the prime radical for an algebra in a subclass of directed pseudo-ordered algebras ($\mathcal{AO}$-ordered algebras) over directed fields is investigated. A description of elements of $\mathcal{AO}$-prime radicals for $\mathcal{AO}$-ordered algebras over directed fields is obtained. 
@article{FPM_2020_23_3_a11,
     author = {A. V. Mikhalev and E. E. Shirshova},
     title = {Prime radicals of directed pseudo-ordered algebras over directed fields},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {215--230},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2020_23_3_a11/}
}
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A. V. Mikhalev; E. E. Shirshova. Prime radicals of directed pseudo-ordered algebras over directed fields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2020) no. 3, pp. 215-230. http://geodesic.mathdoc.fr/item/FPM_2020_23_3_a11/