Computing the inversion height of some embeddings of the free algebra and the free group algebra.

DOI10.1016/j.jalgebra.2006.11.020zbMath1123.16011OpenAlexW2073856396MaRDI QIDQ876339

Javier Sánchez, Herbera, Dolors

Publication date: 18 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.11.020

zbMATH Keywords

Ore domainsfree algebrasdivision ringsfree group algebrasinversion heights

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Infinite-dimensional and general division rings (16K40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Computational aspects of associative rings (general theory) (16Z05)

Related Items

Obtaining free group algebras in division rings generated by group graded rings ⋮ Free group algebras in division rings with valuation I ⋮ Convergence and limits of linear representations of finite groups ⋮ The universal abelian regular ring ⋮ The inversion height of the free field is infinite.

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