On Magnus' Freiheitssatz and free polynomial algebras

DOI10.22108/ijgt.2015.7279zbMath1456.20027OpenAlexW2767539765MaRDI QIDQ4965885

Martin Kreuzer, Benjamin Fine, Gerhard Rosenberger

Publication date: 10 March 2021

Full work available at URL: https://ijgt.ui.ac.ir/article_7279_fcba62ba3131ea087ff25710ba67aa42.pdf

zbMATH Keywords

formal power series ringsFreiheitssatzone-relator groupMagnus representation

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (1)

Correction to: ``The word problem for one-relation monoids: a survey

Cites Work

• An analogue of the Magnus problem for associative algebras.
• Combinatorial methods. Free groups, polynomials, and free algebras
• The Freiheitssatz for One-Relation Monoids
• Shorter Notes: Redei's Finiteness Theorem for Commutative Semigroups
• On the Freiheitssatz
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