Bui Xuan Hai, Trinh Thanh Deo, Mai Hoang Bien
Abstract
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Let D be a division ring with center F. We say that D is a division ring of type 2 if for every two elements x, y ∈ D, the division subring F(x, y) is a finite dimensional vector space over F. In this paper we investigate multiplicative subgroups in such a ring.
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Let D be a division ring with center F. We say that D is a division ring of type 2 if for every two elements x, y ∈ D, the division subring F(x, y) is a finite dimensional vector space over F. In this paper we investigate multiplicative subgroups in such a ring.
Key concepts: Division ring, Subring, Mathematics, Division (mathematics), Center (category theory), Ring (chemistry), Multiplicative function, Multiplicative group