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Algebra 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

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.

Full text: PDF file (211 kB)
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English version:
Algebra and Logic, 2014, 52:6, 471–483

Bibliographic databases:

UDC: 512.565
Received: 21.03.2013

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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\pages 712--730
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\pages 471--483
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