mjo-algebra.tex

   1 %
   2 % Abstract algebraic structures.
   3 %
   4 \ifx\havemjoalgebra\undefined
   5 \def\havemjoalgebra{1}
   6
   7
   8 \ifx\operatorname\undefined
   9   \usepackage{amsopn}
  10 \fi
  11
  12 % The fraction field of its argument, an integral domain. The name
  13 % "Frac" was chosen here instead of "Quot" because the latter
  14 % corresponds to the term "quotient field," which can be mistaken in
  15 % some cases for... a quotient field (something mod something).
  16 \newcommand*{\Frac}[1]{\operatorname{Frac}\of{{#1}}}
  17
  18 % The ideal generated by its argument, a subset consisting of ring or
  19 % algebra elements.
  20 \newcommand*{\ideal}[1]{\operatorname{ideal}\of{{#1}}}
  21
  22 % The polynomial ring whose underlying commutative ring of
  23 % coefficients is the first argument and whose indeterminates (a
  24 % comma-separated list) are the second argumnt.
  25 \newcommand*{\polyring}[2]{{#1}\left[{#2}\right]}
  26
  27
  28 \fi