F9:  [Graphics:../Images/index_gr_69.gif]

"[Graphics:../Images/index_gr_70.gif] = [Graphics:../Images/index_gr_71.gif]  if  a,b  are nonzero elements of  R.  For  ab  [is not zero] by F5, so  [Graphics:../Images/index_gr_72.gif]  exists, and both  [Graphics:../Images/index_gr_73.gif] and   [Graphics:../Images/index_gr_74.gif] are solutions of the equation  x(ab)=1."  (see ita-2-1-16-pg18)

"The usual rules for operating with fractions follow easily from F9:"  (see ita-2-1-17-pg18)

Fractions - F9.1

Fractions - F9.2

Fractions - F9.3

ita


Converted [ in part ] by Mathematica      December 4, 2007