Geodesic
Prime radicals of $\mathcal{K}$-ordered algebras as Kurosh radicals
Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 65-74

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The Kopytov's order for any algebras over a field is considered. Some results concerned with the properties of a factoralgebra for a lattice $\mathcal{K}$-ordered algebras and its $l$-prime radical are obtained. Also, some results concerned with the properties of ordered homomorphisms, strictly ordered homomorphisms and lattice homomorphisms of lattice ordered algebras are presented.
Keywords: lattice $\mathcal{K}$-ordered algebra over a field, ordered homomorphism, prime ideal, prime radical. 
@article{CHEB_2013_14_3_a8,
     author = {J. V. Kochetova},
     title = {Prime radicals of $\mathcal{K}$-ordered algebras as {Kurosh} radicals},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {65--74},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a8/}
}
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J. V. Kochetova. Prime radicals of $\mathcal{K}$-ordered algebras as Kurosh radicals. Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 65-74. http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a8/