Geodesic
On linear $\mathcal K$-ordered rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 13-23

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This paper deals with an approach of ordering of rings, which was introduced by V. M. Kopytov for Lie algebras. The conditions of existence of a linear order in rings are found. The properties of ideals of linear ordered rings are investigated. 
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     author = {V. N. Bibaeva and E. E. Shirshova},
     title = {On linear $\mathcal K$-ordered rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {13--23},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a1/}
}
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V. N. Bibaeva; E. E. Shirshova. On linear $\mathcal K$-ordered rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 13-23. http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a1/