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Algebra i logika, 2013, Volume 52, Number 6, Pages 712–730 (Mi al615)  
Rigid division algebras

K. N. Ponomarev

Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092, Russia
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Abstract: It is shown that finite-dimensional division algebras over finitely generated fields do not form rigid rings. Multiplicative groups of such algebras have central automorphisms which do not extend to automorphisms of the algebras themselves.
Keywords: finite-dimensional division algebra, finitely generated field, rigid algebra, automorphism.
Received: 21.03.2013
English version:
Algebra and Logic, 2014, Volume 52, Issue 6, Pages 471–483
DOI: https://doi.org/10.1007/s10469-014-9261-1
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: K. N. Ponomarev, “Rigid division algebras”, Algebra Logika, 52:6 (2013), 712–730; Algebra and Logic, 52:6 (2014), 471–483
Citation in format AMSBIB
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