Geodesic
On partially $\mathcal K$-ordered rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 225-239.

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A new notion of a partial ordering for rings is considered. Properties of arbitrary partially right $\mathcal K$-ordered rings are investigated. A series of results for linearly right $\mathcal K$-ordered rings is obtained. Some theorems are proved for ideals of those rings. 
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E. E. Shirshova. On partially $\mathcal K$-ordered rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 225-239. http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a18/

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