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This subtopic studies division rings and simple Artinian rings, exploring the structure of skew fields and related semisimple objects.
16K20 studies finite-dimensional division rings in division rings and simple artinian rings. It focuses on division rings, central simple algebras, and the Brauer-theoretic invariants that classify them.
Finite-dimensional division rings (Wikipedia)
Used in the study of skew fields, central simple algebras, and equivalence classes of division algebra structures.
16K40 studies infinite-dimensional and general division rings in division rings and simple artinian rings. It focuses on division rings, central simple algebras, and the Brauer-theoretic invariants that classify them.
Infinite-dimensional and general division rings (Wikipedia)
Used in the study of skew fields, central simple algebras, and equivalence classes of division algebra structures.
16K50 studies brauer groups in division rings and simple artinian rings. It focuses on division rings, central simple algebras, and the Brauer-theoretic invariants that classify them.
Used in the study of skew fields, central simple algebras, and equivalence classes of division algebra structures.