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Malcev-Neumann series and the free field

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Publication:1970307
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zbMath0951.16007MaRDI QIDQ1970307

Christophe Reutenauer

Publication date: 7 December 2000

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

graphsfree associative algebrasfree groupsMalcev-Neumann seriesuniversal fields of fractions


Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Free nonabelian groups (20E05) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Ore rings, multiplicative sets, Ore localization (16U20)


Related Items (5)

Finite solvable groups with a rational skew-field of noncommutative real rational invariants ⋮ Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting ⋮ Realizations of non‐commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras ⋮ Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions ⋮ The inversion height of the free field is infinite.






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