On free subsemigroups of skew fields
Leonid Grigor'evich Makar-Limanov
Abstract
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Leonid Grigor'evich Makar-Limanov
Abstract
Open-access reader
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.
Key concepts: Uncountable set, Skew, Mathematics, Multiplicative function, Center (category theory), Multiplicative group, Group (periodic table), Field (mathematics)