Obtaining free group algebras in division rings generated by group graded rings

DOI10.1142/S0219498818501943zbMath1409.16014OpenAlexW2763284769WikidataQ111288211 ScholiaQ111288211MaRDI QIDQ4561485

Javier Sánchez

Publication date: 6 December 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501943

zbMATH Keywords

ordered groupsgraded ringsdivision ringsMalcev-Neumann series

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (2)

Free group algebras in division rings with valuation I ⋮ Free Group Algebras in Division Rings with Valuation II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On group rings of nilpotent groups
• On matrix rings and linear groups over fields of fractions of group rings and enveloping algebras. II
• Computing the inversion height of some embeddings of the free algebra and the free group algebra.
• Methods of graded rings.
• Ring coproducts embedded in power-series rings
• The inversion height of the free field is infinite.
• Free symmetric group algebras in division rings generated by poly-orderable groups.
• Free groups in normal subgroups of the multiplicative group of a division ring.
• Free differential calculus. I: Derivation in the free group ring
• A Survey on Free Objects in Division Rings and in Division Rings with an Involution
• Free group algebras in Malcev–Neumann skew fields of fractions
• On subalgebras of the first Weyl skewfield
• Corps minimaux contenant l’algebre du groupe libre a deux generateurs
• FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION
• On free group algebras in division rings with uncountable center
• Universal localizations embedded in power-series rings
• Free Subalgebras of Enveloping Fields

This page was built for publication: Obtaining free group algebras in division rings generated by group graded rings