Elementary Divisor Theorem for Noncommutative Pids

DOI10.2307/2047075zbMath0663.16014OpenAlexW4252756583MaRDI QIDQ3812402

Charles J. Odenthal, Lawrence S. Levy, Robert M. Guralnick

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047075

zbMATH Keywords

invertible matricescancellationmodules over principal ideal domainselementary divisor theorem

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Vector and tensor algebra, theory of invariants (15A72) Algebraic systems of matrices (15A30) Divisibility, noncommutative UFDs (16U30) Canonical forms, reductions, classification (15A21) Representation theory of associative rings and algebras (16Gxx)

Related Items (3)

Towards an effective version of a theorem of Stafford ⋮ Presentations over HNP rings with enough invertible ideals and torsionfree cancellation over neoclassical orders ⋮ On local orders

Cites Work

• Unnamed Item
• Presentations of modules when ideals need not be principal
• Matrix equivalence and isomorphism of modules
• Stable structure of noncommutative Noetherian rings
• Matrices and pairs of modules
• Modules over Dedekind prime rings
• Stable equivalence of matrices and resolutions
• On the decomposition of modules
• A note on the elementary divisor theory in non-commutative domains

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