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This subtopic studies orders, arithmetic, and geometric aspects, with emphasis on lattices over orders and the interplay of arithmetic and geometry.
16H05 studies separable algebras, azumaya algebras in orders, arithmetic, and geometric aspects. It connects arithmetic properties of orders with geometric and lattice-theoretic methods in central simple algebra.
Separable algebras, Azumaya algebras (Wikipedia)
Used to study integral structures, lattices, and arithmetic classification problems in algebra.
16H10 studies orders in separable algebras in orders, arithmetic, and geometric aspects. It connects arithmetic properties of orders with geometric and lattice-theoretic methods in central simple algebra.
Orders in separable algebras (Wikipedia)
Used to study integral structures, lattices, and arithmetic classification problems in algebra.
16H15 studies commutative orders in orders, arithmetic, and geometric aspects. It connects arithmetic properties of orders with geometric and lattice-theoretic methods in central simple algebra.
Commutative orders (Wikipedia)
Used to study integral structures, lattices, and arithmetic classification problems in algebra.
16H20 studies lattices over orders in orders, arithmetic, and geometric aspects. It connects arithmetic properties of orders with geometric and lattice-theoretic methods in central simple algebra.
Lattices over orders (Wikipedia)
Used to study integral structures, lattices, and arithmetic classification problems in algebra.