FREE GROUP ALGEBRAS IN DIVISION RINGS

DOI10.1142/S0218196712500440zbMath1259.16018OpenAlexW2069562424MaRDI QIDQ2909490

Eduardo Tengan, Jairo Z. Goncalves

Publication date: 30 August 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196712500440

zbMATH Keywords

free groupsdivision ringsfree group algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Infinite-dimensional and general division rings (16K40) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (4)

Free algebras in division rings with an involution ⋮ Unnamed Item ⋮ Free group algebras in division rings with valuation I ⋮ Free Structures in Division Rings

Cites Work

• On matrix rings and linear groups over fields of fractions of group rings and enveloping algebras. II
• Free group algebras in certain division rings
• A Note on Free Groups in the Ring of Fractions of Skew Polynomial Rings
• On free group algebras in division rings with uncountable center

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