mjo-algebra.tex

   1 %
   2 % Abstract algebraic structures.
   3 %
   4 \ifx\havemjoalgebra\undefined
   5 \def\havemjoalgebra{1}
   6
   7
   8 % Needed for \operatorname.
   9 \usepackage{amsopn}
  10
  11 % The fraction field of its argument, an integral domain. The name
  12 % "Frac" was chosen here instead of "Quot" because the latter
  13 % corresponds to the term "quotient field," which can be mistaken in
  14 % some cases for... a quotient field (something mod something).
  15 \newcommand*{\Frac}[1]{\operatorname{Frac}\of{{#1}}}
  16
  17 % The polynomial ring whose underlying commutative ring of
  18 % coefficients is the first argument and whose indeterminates (a
  19 % comma-separated list) are the second argumnt.
  20 \newcommand*{\polyring}[2]{{#1}\left[{#2}\right]}
  21
  22
  23 \fi