Geodesic
On $l$-prime radicals of lattice ordered algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 55-68

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The Kopytov order for any algebras over a field is considered. The purpose of this paper is to investigate a generalization of the concept of prime radical to lattice ordered algebras over partially ordered fields. Prime radicals of $l$-algebras over partially ordered and directed fields are described. Some results concerning properties of the lower weakly solvable $l$-radical of $l$-algebras are obtained. Necessary and sufficient conditions for the $l$-prime radical of an $l$-algebra to be equal to the lower weakly solvable $l$-radical of an $l$-algebra are presented. 
@article{FPM_2012_17_5_a2,
     author = {J. V. Kochetova},
     title = {On $l$-prime radicals of lattice ordered algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {55--68},
     publisher = {mathdoc},
     volume = {17},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_5_a2/}
}
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J. V. Kochetova. On $l$-prime radicals of lattice ordered algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 55-68. http://geodesic.mathdoc.fr/item/FPM_2012_17_5_a2/