L. M. Martynov, “On hereditarily pure associative algebras over Dedekind rings”, Sib. Èlektron. Mat. Izv., 2013, Volume 10,Pages <nobr>475

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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.

UDC: 512.552.13

MSC: 16X99

Received April 23, 2013, published July 18, 2013