Geodesic
Prime radicals of directed pseudo-ordered rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 4, pp. 147-166

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Characteristics of partially pseudo-ordered ($\mathcal{K}$-ordered) rings are considered. Properties of ideals in pseudo-ordered rings are described. A variation of the concept of the prime radical for a ring in the subclass of directed pseudo-ordered rings ($\mathcal{AO}$-ordered rings) is investigated. The description of elements of $\mathcal{AO}$-prime radicals for $\mathcal{AO}$-ordered rings is obtained. 
@article{FPM_2019_22_4_a10,
     author = {A. V. Mikhalev and E. E. Shirshova},
     title = {Prime radicals of directed pseudo-ordered rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {147--166},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a10/}
}
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A. V. Mikhalev; E. E. Shirshova. Prime radicals of directed pseudo-ordered rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 4, pp. 147-166. http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a10/