Free subgroups and free subsemigroups of division rings
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Publication:1922897
DOI10.1006/jabr.1996.0275zbMath0865.16014OpenAlexW1991284818MaRDI QIDQ1922897
Publication date: 7 July 1997
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1996.0275
division ringsmultiplicative groups of skew fieldsfree subsemigroupsfree subalgebrasfinitely generated non-commutative division rings
Infinite-dimensional and general division rings (16K40) Semigroup rings, multiplicative semigroups of rings (20M25) Units, groups of units (associative rings and algebras) (16U60) Skew fields, division rings (12E15)
Related Items (18)
Free algebras and free groups in Ore extensions and free group algebras in division rings. ⋮ A Survey on Free Objects in Division Rings and in Division Rings with an Involution ⋮ Existence of Nonabelian Free Subgroups in the Maximal Subgroups of GLn(D) ⋮ Multiplicative subgroups in weakly locally finite division rings ⋮ A note on the existence of non-cyclic free subgroups in division rings. ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ Free group algebras in division rings with valuation I ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ Locally solvable maximal subgroups in division rings ⋮ Free Group Algebras in Division Rings with Valuation II ⋮ Generalized power central group identities in almost subnormal subgroups of $\operatorname {GL}_n(D)$ ⋮ Free subalgebras of division algebras over uncountable fields. ⋮ FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION ⋮ Free groups in normal subgroups of the multiplicative group of a division ring. ⋮ On free subsemigroups of associative algebras ⋮ On free subgroups in division rings ⋮ A Note on Free Groups in the Ring of Fractions of Skew Polynomial Rings ⋮ Makar-Limanov's conjecture on free subalgebras.
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