Geodesic
Rigid division algebras
Algebra i logika, Tome 52 (2013) no. 6, pp. 712-730

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : automorphism. 
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     author = {K. N. Ponomarev},
     title = {Rigid division algebras},
     journal = {Algebra i logika},
     pages = {712--730},
     publisher = {mathdoc},
     volume = {52},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2013_52_6_a3/}
}
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K. N. Ponomarev. Rigid division algebras. Algebra i logika, Tome 52 (2013) no. 6, pp. 712-730. http://geodesic.mathdoc.fr/item/AL_2013_52_6_a3/