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. 
@article{FPM_2016_21_1_a18,
     author = {E. E. Shirshova},
     title = {On partially $\mathcal K$-ordered rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {225--239},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a18/}
}
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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/