The normal closure of coproducts of domains

DOI10.1016/0021-8693(83)90170-9zbMath0511.16001OpenAlexW2033669529MaRDI QIDQ1839018

Wallace S. III Martindale, Susan Montgomery

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90170-9

zbMATH Keywords

domainsfree productnormal closurebounded automorphismskew subfield

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite rings and finite-dimensional associative algebras (16P10) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Integral domains (associative rings and algebras) (16U10)

Related Items (6)

Computing the symmetric ring of quotients ⋮ Automorphism groups of tree actions and of graphs of groups ⋮ Bounded automorphisms of surfaces ⋮ The symmetric ring of quotients of the coproduct of rings ⋮ The normal closure of the coproduct of domains over a division ring ⋮ A semiprime Morita context related to finite automorphism groups of rings

Cites Work

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• Automorphism groups of rings with no nilpotent elements
• Algebras of invariants of free algebras
• Free ideal monoid rings
• The primitivity of free products of associative algebras
• Prime rings satisfying a generalized polynomial identity
• The Extended Center of Coproducts
• The Semigroup of Ideals of a Fir is (Usually) Free
• The Centres of 2-Firs and Hereditary Rings
• Automorphisms of a Free Associative Algebra of Rank 2. II
• Modules Over Coproducts of Rings

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