Modular lattices and Hermitean forms

DOI10.1007/BF01224032zbMath0608.10021MaRDI QIDQ1086274

Remo Moresi

Publication date: 1986

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

zbMATH Keywords

Hermitian formsmodular latticesinvariantquadratic latticedivision ringsorthogonal separabilityinfinite dimensional vector spacesisometry classification

Mathematics Subject Classification ID

Modular lattices, Desarguesian lattices (06C05) General binary quadratic forms (11E16)

Related Items

Lattices and infinite-dimensional forms. `The lattice method' ⋮ Hermitean (semi) lattices and Rolf's lattice ⋮ Different orthomodular orthocomplementations on a lattice ⋮ Metabolische und Wittsche Zerlegungen in \(\aleph _ 0\)-dimensionalen Hermiteschen Räumen. (Metabolic and Witt decompositions in \(\aleph _ 0\)-dimensional Hermitian spaces) ⋮ Lattice problems originating in quadratic space theory

Cites Work

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• On odd Hermitian forms
• On the non-trace-valued forms
• The lattice method in the theory of quadratic spaces of non-denumerable dimensions
• Isomorphisms between lattices of linear subspaces which are induced by isometries
• Inner product spaces of infinite dimension; on the lattice method
• Classification of Countably Infinite Hermitian Forms Over Skewfields
• On the Invariants of a Vector Subspace of a Vector Space over a Field of Characteristic Two
• On the conjugacy classes in the unitary, symplectic and orthogonal groups
• The Weierstrass Theorem in Fields with Valuations
• On Infinite-Dimensional Linear Spaces

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