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## Abstract

Let

a multiplicative commutator. Let

*D*be a division ring with centre*F*. An element of the form*xyx*^{−1}y^{−1}∈*D*is calleda multiplicative commutator. Let

*T (D)*be the vector space over*F*generated by all multiplicative commutators in*D*. In [1], authors have conjectured that every division ring is generated as a vector space over its centre by all of its multiplicative commutators. In this note it is shown that if*D*is centrally finite, then the conjecture holds.Original language | English |
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Publisher | ArXiv |

Number of pages | 3 |

Publication status | Submitted - 3 Jul 2017 |

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Dive into the research topics of 'Remarks on Vector Space Generated by the Multiplicative Commutators of a Division Ring'. Together they form a unique fingerprint.## Projects

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