Free Structures in Division Rings

Autor(es)

Fehlberg, Jr., R.

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 44, n. 6, p. 2501-2512, 2016.
• Citações Web of Science: 1

Resumo

Makar-Limanov's conjecture states that, if a division ring D is finitely generated and infinite dimensional over its center k, then D contains a free k-subalgebra of rank 2. In this work, we will investigate the existence of such structures in D, the division ring of fractions of the skew polynomial ring L{[}t; sigma], where t is a variable and sigma is a k-automorphism of L. For instance, we prove Makar-Limanov's conjecture when either L is the function field of an abelian variety or the function field of the n-dimensional projective space. (AU)

• Processo FAPESP: 09/54547-5 - Estruturas livres em anéis de divisão
• Beneficiário: Renato Fehlberg Junior
• Modalidade de apoio: Bolsas no Brasil - Doutorado