Free group algebras in certain division rings

DOI10.1006/jabr.1996.0326zbMath0866.16011OpenAlexW2019212996MaRDI QIDQ1125897

L. M. V. Figueiredo, Mazi Shirvani, Jairo Z. Goncalves

Publication date: 10 July 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0326

zbMATH Keywords

polycyclic-by-finite groupsskew polynomial ringsfields of fractionsfree groupsfree subsemigroupsfree subalgebrasfinitely generated non-commutative skew fieldsfull of free subobjects conjectureinfinite-dimensional skew fieldsWeyl skew fields

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Infinite-dimensional and general division rings (16K40) Skew fields, division rings (12E15)

Related Items (12)

Free algebras and free groups in Ore extensions and free group algebras in division rings. ⋮ A Survey on Free Objects in Division Rings and in Division Rings with an Involution ⋮ FREE GROUP ALGEBRAS IN DIVISION RINGS ⋮ Free algebras in division rings with an involution ⋮ Computing the inversion height of some embeddings of the free algebra and the free group algebra. ⋮ Free group algebras in division rings with valuation I ⋮ Free subalgebras of division algebras over uncountable fields. ⋮ Free Structures in Division Rings ⋮ On free subgroups in division rings ⋮ A Note on Free Groups in the Ring of Fractions of Skew Polynomial Rings ⋮ Makar-Limanov's conjecture on free subalgebras. ⋮ Free products of units in algebras. I: Quaternion algebras

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