most citedSelf-Invariant Maximal Subfields and Their Connexion with Some Conjectures in Division Rings

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math.RA2019★ 1 cited

Self-Invariant Maximal Subfields and Their Connexion with Some Conjectures in Division Rings

Mehdi Aaghabali, M. H. Bien

Let D be a division algebra with center F. A maximal subfield of D is defined to be a field K such that CD(K) = K; that is, K is its own centralizer in D. A maximal subfield K is s…

math.RA2017

Certain Simple Maximal Subfields in Division Rings

Mehdi Aaghabali, Mai Hoang Bien

Let D be a division ring finite dimensional over its center F. The goal of this paper is to prove that for any positive integer n there exists a in D^(n); the n-th multiplicative d…

math.RA2017

Remarks on Vector Space Generated by the Multiplicative Commutators of a Division Ring

Mehdi Aaghabali, Zakeieh Tajfirouz

Let D be a division ring with centre F. Let T(D) be the vector space over F generated by all multiplicative commutators in D. In [1], authors have conjectured that every division r…