Division algebras. A survey

DOI10.1090/conm/013/685935zbMath0504.16011OpenAlexW4247093075MaRDI QIDQ4740055

S. A. Amitsur

Publication date: 1982

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/013/685935

zbMATH Keywords

surveycrossed productsbibliographycentral simple algebrasdivision algebraspolynomial identitiessplitting fieldsproblemsBrauer groupuniversal division algebrasgeneric splitting fieldstensor product of cyclic algebrascentralizers of simple modulesdivision algebras finite dimensional over their centersgeneric crossed- productsinvolutions of division algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02) Division rings and semisimple Artin rings (16Kxx) Rings with polynomial identity (16Rxx)

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