Noncommutative elementary divisor rings

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1999 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Sciences, volume 96, pages 3,013-3,016 (issn: 1072-3374, eissn: 1573-8795,

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Authors: Gatalevich, A. I.; Zabavskij, B. V.;

doi: 10.1007/bf02169697

Noncommutative elementary divisor rings

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Abstract

The authors consider a Bézout domain with unit, i.e., a domain where an arbitrary finitely generated ideal is a principal one-sided ideal. The authors cite a series of assertions describing new classes of noncommutative elementary divisor domains.

Keywords

elementary divisor domains, Bézout domains, Integral domains (associative rings and algebras), Generalizations of commutativity (associative rings and algebras), Divisibility, noncommutative UFDs, noncommutative rings, elementary divisor rings

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