Geodesic
On hereditarily pure associative algebras over Dedekind rings
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 475-490

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The problem of the description hereditary pure associative algebras over Dedekind rings is investigated. In particular, nilalgebras, idempotent algebras and commutative algebras with such property are characterized.
Keywords: associative algebra, Dedekind ring, hereditary pure associative algebra. 
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     author = {L. M. Martynov},
     title = {On hereditarily pure associative algebras over {Dedekind} rings},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {475--490},
     publisher = {mathdoc},
     volume = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a13/}
}
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L. M. Martynov. On hereditarily pure associative algebras over Dedekind rings. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 475-490. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a13/