On the construction of Sylvester domains

DOI10.1006/jabr.2000.8537zbMath0985.16010OpenAlexW2042557633WikidataQ105693714 ScholiaQ105693714MaRDI QIDQ1841852

Paul M. Cohn

Publication date: 17 February 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8537

zbMATH Keywords

Ore domainsprincipal ideal domainsintegral extensionsuniversal fields of fractionscoproducts of ringsSylvester domains

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Ore rings, multiplicative sets, Ore localization (16U20) Integral domains (associative rings and algebras) (16U10)

Cites Work

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• On the free product of associative rings
• On the free product of associative rings. II: The case of (skew) fields
• Free algebras over Bezout domains are Sylvester domains
• Sylvester domains
• Free ideal rings
• The universal skew field of fractions ofa tensor product of free rings
• Quadratic Extensions of Skew Fields
• On the law of nullity

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