Filtrations on simple Artinian rings

DOI10.1016/0021-8693(90)90135-BzbMath0761.16016MaRDI QIDQ1813946

Huishi Li, Freddy M. J. van Oystaeyen

Publication date: 25 June 1992

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

zbMATH Keywords

associated graded ringmaximal ordersmicrolocalizationdiscrete valuation ringsseparated filtrationssimple Artinian ringsP.I. algebrasfiltered simple Artinian ringskewfields

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

A note on the extension of discrete valuations to affine domains ⋮ A class of counterexamples to the Gel’fand-Kirillov conjecture ⋮ Microlocal properties of filtered rings ⋮ Valuation extensions of algebras defined by monic Gröbner bases. ⋮ Dehomogenization of Gradings to Zariskian Filtrations and Applications to Invertible Ideals ⋮ Good reduction of good filtrations at places. ⋮ Valuation Extensions of Filtered and Graded Algebras ⋮ Correspondences between valued division algebras and graded division algebras ⋮ Glider Brauer-Severi varieties of central simple algebras ⋮ Zariski rings and flatness of completion ⋮ Algèbre à division graduèe cent rale

Cites Work

• Graded PI-rings and generalized crossed product Azumaya algebras
• Prime spectra in non-commutative algebra
• Noetherian Pi-Rings
• Arithmetically graded rings revisited
• Lifting maximal orders
• A New Algebraic Approach to Microlocalization of Filtered Rings
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