Geodesic
A variant of the primitive element theorem for separable extensions of a~commutative ring
Algebra and discrete mathematics, no. 3 (2009), pp. 20-27

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In this article we show that any strongly separable extension of a commutative ring $R$ can be embedded into another one having primitive element whenever every boolean localization of $R$ modulo its Jacobson radical is von Neumann regular and locally uniform.
Keywords: primitive element, separable extension, boolean localization. 
@article{ADM_2009_3_a2,
     author = {Dirceu Bagio and Antonio Paques},
     title = {A variant of the primitive element theorem for separable extensions of a~commutative ring},
     journal = {Algebra and discrete mathematics},
     pages = {20--27},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2009_3_a2/}
}
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Dirceu Bagio; Antonio Paques. A variant of the primitive element theorem for separable extensions of a~commutative ring. Algebra and discrete mathematics, no. 3 (2009), pp. 20-27. http://geodesic.mathdoc.fr/item/ADM_2009_3_a2/