Geodesic
Radical properties of lattice $\mathcal{K}$-ordered algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 89-93

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Kopytov's $\mathcal{K}$-order for any algebras over a field is considered. Some results concerning relationships between $l$-prime radicals and prime radicals in lattice $\mathcal{K}$-ordered algebras over partially ordered fields are obtained. Also, the notion of a saturated system in an $l$-algebra is introduced and some properties of saturated systems of lattice $\mathcal{K}$-ordered algebras are presented. 
@article{FPM_2015_20_5_a8,
     author = {J. V. Kochetova},
     title = {Radical properties of lattice $\mathcal{K}$-ordered algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {89--93},
     publisher = {mathdoc},
     volume = {20},
     number = {5},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a8/}
}
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J. V. Kochetova. Radical properties of lattice $\mathcal{K}$-ordered algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 89-93. http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a8/