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Open problems on central simple algebras. (English) Zbl 1230.16016

This is a very interesting survey of past research containing a list of open problems regarding simple central algebras and Brauer groups over fields. The survey includes an introduction, 12 sections and a full list of references. Beside Section 0 with background, in each section from 1 to 11, the authors give a short description of open problems with comments which could help readers to understand easily the situation of the research from the past into the present. Hence, this survey is very useful for all mathematicians from beginners to experts.

MathOverflow Questions:

Some questions on division algebras

MSC:

16K20 Finite-dimensional division rings
16K50 Brauer groups (algebraic aspects)
16-02 Research exposition (monographs, survey articles) pertaining to associative rings and algebras
00A07 Problem books
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Full Text: DOI arXiv

References:

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