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Algebra i logika, 2011, Volume 50, Number 6, Pages 781–801 (Mi al516)  
This article is cited in 2 scientific papers (total in 2 papers)

Hereditarily pure associative algebras over a Dedekind ring whose maximal ideals have finite indices

L. M. Martynov

Omsk State Pedagogical University, Omsk, Russia
Full-text PDF (220 kB) Citations (2)
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Abstract: 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.
Received: 09.03.2011
English version:
Algebra and Logic, 2012, Volume 50, Issue 6, Pages 526–538
DOI: https://doi.org/10.1007/s10469-012-9163-z
Bibliographic databases:
Document Type: Article
UDC: 512.552.13
Language: Russian
Citation: L. M. Martynov, “Hereditarily pure associative algebras over a Dedekind ring whose maximal ideals have finite indices”, Algebra Logika, 50:6 (2011), 781–801; Algebra and Logic, 50:6 (2012), 526–538
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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