mjo-algebra.tex

   1 %
   2 % Abstract algebraic structures.
   3 %
   4
   5 % Needed for \operatorname.
   6 \usepackage{amsopn}
   7
   8 % The fraction field of its argument, an integral domain. The name
   9 % "Frac" was chosen here instead of "Quot" because the latter
  10 % corresponds to the term "quotient field," which can be mistaken in
  11 % some cases for... a quotient field (something mod something).
  12 \newcommand*{\Frac}[1]{\operatorname{Frac}\of{{#1}}}
  13
  14 % The polynomial ring whose underlying commutative ring of
  15 % coefficients is the first argument and whose indeterminates (a
  16 % comma-separated list) are the second argumnt.
  17 \newcommand*{\polyring}[2]{{#1}\left[{#2}\right]}