On hereditarily pure associative algebras over Dedekind rings.

DOI10.17377/SEMI.2013.10.037zbMath1330.16016MaRDI QIDQ891019

Leonid Matveevich Martynov

Publication date: 16 November 2015

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

associative algebrasDedekind ringselementary Abelian algebrashereditarily pure algebrascomplete subalgebrasidempotent algebrasnilalgebras

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (1)

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

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