Hermitian Morita Theory and Unitary Groups of Modules over Semisimple Artinian Rings

DOI10.1080/00927870802243663zbMath1172.20036OpenAlexW2129490183MaRDI QIDQ3618535

Bhanumati Dasgupta

Publication date: 2 April 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802243663

zbMATH Keywords

Hermitian formsunitary groupssemisimple Artinian ringsWitt indexHermitian Morita theoryprojective unitary groupsgeneralized hyperbolic modules

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphisms of infinite groups (20E36) Other matrix groups over rings (20H25)

Related Items (3)

Hermitian Morita equivalences between maximal orders in central simple algebras ⋮ Hermitian Morita Theory and Unitary Groups of Hyperbolic Quadratic Modules over Maximal Orders in Central Simple Algebras ⋮ A hermitian analogue of the Morita theorems

Cites Work

• Unnamed Item
• Unnamed Item
• A Hermitian Morita theorem for algebras with anti-structure
• Hermitian Morita theory and hyperbolic unitary groups
• Category equivalences and linear groups over rings
• The equivalence of sesquilinear forms
• A general isomorphism theory for linear groups
• The isomorphisms of unitary groups over noncommutative domains
• The isomorphisms of certain subgroups of the isometry groups of reflexive spaces
• Comments on a paper ``A Hermitian Morita theorem for algebras with anti-structure

This page was built for publication: Hermitian Morita Theory and Unitary Groups of Modules over Semisimple Artinian Rings