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// Algebra i logika
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Algebra Logika,
2011
Volume 50,
Number 6,
Pages
781–801
(Mi al516)
This article is cited 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
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.
UDC:
512.552.13
Received: 09.03.2011
Fulltext:
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References
Cited by
English version:
Algebra and Logic, 2012,
50
:6,
526–538
Bibliographic databases:
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, 2024