scientific article; zbMATH DE number 1563322
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Publication:4761406
zbMath0971.16010MaRDI QIDQ4761406
Publication date: 28 October 2001
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valuationsLie algebrasfree associative algebrasintegral domainsskew fieldsfirst Weyl algebranoncommutative Ore domains
Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Universal enveloping (super)algebras (17B35) Infinite-dimensional and general division rings (16K40) Ore rings, multiplicative sets, Ore localization (16U20) Universal enveloping algebras of Lie algebras (16S30)
Related Items (8)
Free algebras and free groups in Ore extensions and free group algebras in division rings. ⋮ Free algebras in division rings with an involution ⋮ Free group algebras in division rings with valuation I ⋮ Free symmetric pairs in the field of fractions of enveloping Lie algebras with involution ⋮ Free Group Algebras in Division Rings with Valuation II ⋮ Free subalgebras of division algebras over uncountable fields. ⋮ Makar-Limanov's conjecture on free subalgebras. ⋮ Free products of units in algebras. I: Quaternion algebras
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