Geodesic
Hereditarily pure associative algebras over a Dedekind ring whose maximal ideals have finite indices
Algebra i logika, Tome 50 (2011) no. 6, pp. 781-801

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that an algebra over a Dedekind ring whose maximal ideals have finite indices is hereditarily pure iff it is representable as a direct sum of an elementary Abelian algebra and an elementary Jacobsonian algebra.
Keywords: Dedekind ring, associative algebra, hereditarily pure algebra, elementary Abelian algebra, elementary Jacobsonian algebra. 
@article{AL_2011_50_6_a5,
     author = {L. M. Martynov},
     title = {Hereditarily pure associative algebras over {a~Dedekind} ring whose maximal ideals have finite indices},
     journal = {Algebra i logika},
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     publisher = {mathdoc},
     volume = {50},
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     url = {http://geodesic.mathdoc.fr/item/AL_2011_50_6_a5/}
}
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L. M. Martynov. Hereditarily pure associative algebras over a Dedekind ring whose maximal ideals have finite indices. Algebra i logika, Tome 50 (2011) no. 6, pp. 781-801. http://geodesic.mathdoc.fr/item/AL_2011_50_6_a5/