decomposing a semi-simple algebra into a sum of fields
Michael E. ยท 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!
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!