scientific article

zbMath0482.16001MaRDI QIDQ3939943

Jan Van Geel

Publication date: 1981

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Riemann-Roch theoremextensions of valuationsarithmetic pseudo valuationscentral simple algebras on function fieldsprime valuations

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Valuations and their generalizations for commutative rings (13A18) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) General valuation theory for fields (12J20) Local deformation theory, Artin approximation, etc. (14B12) Arithmetic rings and other special commutative rings (13F99) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02) Division rings and semisimple Artin rings (16Kxx)

Related Items (11)

Algebraic elements in division algebras over function fields of curves ⋮ Totally Ramified Valuations on Finite-Dimensional Division Algebras ⋮ Le gradué d’une algèbre à division valuée ⋮ An introduction of fragmented structures over filtered rings ⋮ On valuation subalgebras and their centres ⋮ On \(^*\)-primes and \(^*\)-valuations ⋮ Value Functions on Central Simple Algebras ⋮ Valuation Extensions of Filtered and Graded Algebras ⋮ Filtrations on simple Artinian rings ⋮ Divisors on division algebras and error correcting codes ⋮ A duality theorem for orders in central simple algebras over function fields

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