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Sib. Èlektron. Mat. Izv., 2013, Volume 10, Pages 475–490 (Mi semr440)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

On hereditarily pure associative algebras over Dedekind rings

L. M. Martynov

Omsk State Pedagogical University

Abstract: 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.

Full text: PDF file (551 kB)
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UDC: 512.552.13
MSC: 16X99
Received April 23, 2013, published July 18, 2013

Citation: L. M. Martynov, “On hereditarily pure associative algebras over Dedekind rings”, Sib. Èlektron. Mat. Izv., 10 (2013), 475–490

Citation in format AMSBIB
\Bibitem{Mar13}
\by L.~M.~Martynov
\paper On hereditarily pure associative algebras over Dedekind rings
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 475--490
\mathnet{http://mi.mathnet.ru/semr440}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. L. M. Martynov, “Polnota, redutsirovannost, primarnost i chistota dlya algebr: rezultaty i problemy”, Sib. elektron. matem. izv., 13 (2016), 181–241  mathnet  crossref
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