Division algebras
... when this condition is omitted, this would lead us too far. Note that the most interesting cases occur when A is a field, since this gives B the structure of a finite dimensional vector space. Many authors choose to include this in their definition of a division algebra. It should also be noted that ...
... when this condition is omitted, this would lead us too far. Note that the most interesting cases occur when A is a field, since this gives B the structure of a finite dimensional vector space. Many authors choose to include this in their definition of a division algebra. It should also be noted that ...
![WHEN IS F[x,y] - American Mathematical Society](http://s1.studyres.com/store/data/017823178_1-6801a801f234da9ec7275765b0565209-300x300.png)
WHEN IS F[x,y] - American Mathematical Society
... where the pj and qj are irreducibles in R, n = m , and there is a permutation a of the subscripts such that p, and qa(i) are similar, which means R/PiR = R/qa(i)R as R-modules (see [1, p. 9]). For the second case we assume that x and y commute but take jF to be a skew field. It is our purpose to sho ...
... where the pj and qj are irreducibles in R, n = m , and there is a permutation a of the subscripts such that p, and qa(i) are similar, which means R/PiR = R/qa(i)R as R-modules (see [1, p. 9]). For the second case we assume that x and y commute but take jF to be a skew field. It is our purpose to sho ...
Ring class groups and ring class fields
... In the case that Z[ −n] = OQ(√−n) , we know that p is principal if and only if it ...
... In the case that Z[ −n] = OQ(√−n) , we know that p is principal if and only if it ...
