A Hermitian Morita theorem for algebras with anti-structure

DOI10.1016/0021-8693(85)90184-XzbMath0564.18010MaRDI QIDQ1057977

Alexander J. Hahn

Publication date: 1985

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

zbMATH Keywords

Hermitian formslattice isomorphismsinvariant idealsalgebraic K-theorymodule theoryHermitian Morita context

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) General binary quadratic forms (11E16) Grothendieck groups, (K)-theory and commutative rings (13D15) Division rings and semisimple Artin rings (16Kxx)

Related Items (15)

Round L-theory ⋮ The quadratic Schur subgroup over local and global fields ⋮ Detection theorems for K-theory and L-theory ⋮ Hermitian Morita equivalences between maximal orders in central simple algebras ⋮ The relative hermitian picard group ⋮ Morita equivalence for positive hochschild homology and dihedral homology ⋮ Real representations of \(C_2\)-graded groups: the antilinear theory ⋮ Comments on a paper ``A Hermitian Morita theorem for algebras with anti-structure ⋮ Hermitian Morita Theory and Unitary Groups of Hyperbolic Quadratic Modules over Maximal Orders in Central Simple Algebras ⋮ On the picard group of involutive algebras and coalgebras ⋮ Involutive invariants of the second kind ⋮ Hermitian Morita Theory and Unitary Groups of Modules over Semisimple Artinian Rings ⋮ Burnside rings for Real 2-representation theory: The linear theory ⋮ Hermitian Morita theory and hyperbolic unitary groups ⋮ A hermitian analogue of the Morita theorems

Cites Work

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• Category equivalences and linear groups over rings
• The isomorphisms of unitary groups over noncommutative domains
• Azumaya algebras with involution
• On the classification of Hermitian forms. II: Semisimple rings
• \(K\)-theory and stable algebra
• Forms over rings with involution
• A structure theory for Jordan algebras

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