Geodesic
A Ring Variety without an Independent Basis
Matematičeskie zametki, Tome 69 (2001) no. 5, pp. 713-732

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An example of a ring variety without an independent basis is constructed. It is proved that this variety is the intersection of two independently based varieties. 
@article{MZM_2001_69_5_a7,
     author = {V. Yu. Popov},
     title = {A {Ring} {Variety} without an {Independent} {Basis}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {713--732},
     publisher = {mathdoc},
     volume = {69},
     number = {5},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_5_a7/}
}
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V. Yu. Popov. A Ring Variety without an Independent Basis. Matematičeskie zametki, Tome 69 (2001) no. 5, pp. 713-732. http://geodesic.mathdoc.fr/item/MZM_2001_69_5_a7/