Geodesic
The coordinate ring of an $n$-dimensional sphere and some examples of differentially simple algebras
Algebra i logika, Tome 52 (2013) no. 4, pp. 416-434.

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Using the coordinate ring of an $n$-dimensional real sphere, we construct examples of differentially simple algebras which are finitely generated projective, but nonfree, modules over their centroids. As a consequence, examples of such algebras are obtained in varieties of associative, Lie, alternative, Mal'tsev, and Jordan algebras.
Keywords: differentially simple algebra, variety, Lie algebra, alternative algebra, Mal’tsev algebra, Jordan algebra.
Mots-clés : module, centroid 
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V. N. Zhelyabin; A. A. Popov; I. P. Shestakov. The coordinate ring of an $n$-dimensional sphere and some examples of differentially simple algebras. Algebra i logika, Tome 52 (2013) no. 4, pp. 416-434. http://geodesic.mathdoc.fr/item/AL_2013_52_4_a1/

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