On subalgebras of the first Weyl skewfield

DOI10.1080/00927879108824241zbMath0729.16011OpenAlexW2042191269MaRDI QIDQ3353197

Leonid G. Makar-Limanov

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824241

zbMATH Keywords

Gelfand-Kirillov dimensionskew field of fractionsfirst Weyl algebrafree subalgebrasgroup ring of the free group on two generators

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Growth rate, Gelfand-Kirillov dimension (16P90) Infinite-dimensional and general division rings (16K40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (11)

A Survey on Free Objects in Division Rings and in Division Rings with an Involution ⋮ Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras ⋮ Obtaining free group algebras in division rings generated by group graded rings ⋮ Some noncommutative minimal surfaces ⋮ Free group algebras in division rings with valuation I ⋮ Corps minimaux contenant l’algebre du groupe libre a deux generateurs ⋮ On free group algebras in division rings with uncountable center ⋮ Free Group Algebras in Division Rings with Valuation II ⋮ Filter Dimension ⋮ On free subgroups in division rings ⋮ Free group algebras in the field of fractions of differential polynomial rings and enveloping algebras

Cites Work

• Unnamed Item
• The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra

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