Geodesic
On the M.V.~Zaicev problem for a Noetherian special Lie algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2017), pp. 26-31

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We solve M. V. Zaicev's problem in the following sense: any Noetherian semiprime special Lie algebra be an algebra of matrixes over the commutative ring which is the direct sum of fields.
Keywords: Noetherian Lie algebra, special Lie algebra, Martidale's centroid. 
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     author = {A. N. Blagovisnaya and O. A. Pikhtilkova and S. A. Pikhtilkov},
     title = {On the {M.V.~Zaicev} problem for a {Noetherian} special {Lie} algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     publisher = {mathdoc},
     number = {5},
     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2017_5_a2/}
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A. N. Blagovisnaya; O. A. Pikhtilkova; S. A. Pikhtilkov. On the M.V.~Zaicev problem for a Noetherian special Lie algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2017), pp. 26-31. http://geodesic.mathdoc.fr/item/IVM_2017_5_a2/