1984•Proceedings of the American Mathematical SocietyOpen access

On free subsemigroups of skew fields

Leonid Grigor'evich Makar-Limanov

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Abstract

I will prove in this note that the multiplicative group of a skew field with uncountable center either contains a free nonabelian subsemigroup or is commutative.

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I will prove in this note that the multiplicative group of a skew field with uncountable center either contains a free nonabelian subsemigroup or is commutative.

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Available abstract

I will prove in this note that the multiplicative group of a skew field with uncountable center either contains a free nonabelian subsemigroup or is commutative.

Key concepts: Uncountable set, Skew, Mathematics, Multiplicative function, Center (category theory), Multiplicative group, Group (periodic table), Field (mathematics)

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