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 Post subject: decomposing a semi-simple algebra into a sum of fields
PostPosted: Wed Dec 20, 2006 10:57 am 
I wonder if there is a simple way to use Singular in order to answer the following question:

Assume Q is a quotient ring of C[x_1,...,x_n] which has a finite dimension over C. Assume Q is a semi-simple algebra over C and decomposes into a direct sum of fields. How many fields appear in the decomposition and what are their units?

Many thanks in advance!


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