Universal localization of triangular matrix rings

DOI10.1090/S0002-9939-06-08420-6zbMath1115.16010arXivmath/0407497MaRDI QIDQ3419928

Desmond Sheiham

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407497

zbMATH Keywords

finitely generated projective modulestriangular matrix ringsuniversal localizationsrings of fractions\(\sigma\)-inverting morphismslocalizations as pushouts

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Grothendieck groups, (K)-theory, etc. (16E20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (6)

Blanchfield and Seifert algebra in high-dimensional boundary link theory. I: Algebraic \(K\)-theory ⋮ Injective modules over formal matrix rings. ⋮ Modules over formal matrix rings. ⋮ The group \(K_0\) of a generalized matrix ring ⋮ Exact contexts, noncommutative tensor products, and universal localizations ⋮ Universal localization of certain matrix rings

Cites Work

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• Universal derivations and universal ring constructions
• Sylvester domains
• Fractional skew monoid rings.
• Study of modules over formal triangular matrix rings
• The Cohn localization of the free group ring
• Localization in Semifirs II
• Study of formal triangular matrix rings
• Rings of Fractions
• Modules Over Coproducts of Rings
• Coproducts and Some Universal Ring Constructions

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