Invariant subrings of separable algebras
Copyright policy )Invariant subrings of separable algebras
This paper gives a necessary and sufficient condition that the ring of invariants of every group of automorphisms of every projective, separable, commutative algebra over a given commutative ring is itself a union of separable, projective subalgebras. Rings satisfying the condition include products of connected rings, von Neumann regular rings, and some rings of functions.
- University of Oklahoma United States
Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Chain conditions on annihilators and summands: Goldie-type conditions, Morphisms of commutative rings, Brauer groups of schemes
Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Chain conditions on annihilators and summands: Goldie-type conditions, Morphisms of commutative rings, Brauer groups of schemes
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