Free subalgebras of quotient rings of Ore extensions.

DOI10.2140/ant.2012.6.1349zbMath1267.16017arXiv1101.5829OpenAlexW2964027396MaRDI QIDQ1932511

Jason P. Bell, Daniel Rogalski

Publication date: 18 January 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5829

zbMATH Keywords

Ore extensionsquotient division algebrasfree subalgebrasiterated skew polynomial ringsPI domains

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Infinite-dimensional and general division rings (16K40) Associative rings of fractions and localizations (16S85) Integral domains (associative rings and algebras) (16U10)

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 group algebras in division rings generated by poly-orderable groups. ⋮ Free Group Algebras in Division Rings with Valuation II ⋮ Free subalgebras of division algebras over uncountable fields. ⋮ Free Structures in Division Rings ⋮ On free subgroups in division rings

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