X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-algebra.tex;h=fb930279e46e851855845e6e32820e9504ec20a8;hb=0764c4b643f444e4e46c6b3481ba32962bee5bfe;hp=71ba6221a1b9f0859fcbcb1530a251f7234e93af;hpb=17fd11a2ac39c8d20680a61279efed7bd18f93f2;p=mjotex.git diff --git a/mjo-algebra.tex b/mjo-algebra.tex index 71ba622..fb93027 100644 --- a/mjo-algebra.tex +++ b/mjo-algebra.tex @@ -9,10 +9,21 @@ \usepackage{amsopn} \fi +\input{mjo-common} % for \of, at least + + % The (sub)algebra generated by its argument, a subset of some ambient % algebra. By definition this is the smallest subalgebra (of the % ambient one) containing that set. \newcommand*{\alg}[1]{\operatorname{alg}\of{{#1}}} +\ifdefined\newglossaryentry + \newglossaryentry{alg}{ + name={\ensuremath{\alg{X}}}, + description={the (sub)algebra generated by $X$}, + sort=a + } +\fi + % The fraction field of its argument, an integral domain. The name % "Frac" was chosen here instead of "Quot" because the latter @@ -23,6 +34,14 @@ % The ideal generated by its argument, a subset consisting of ring or % algebra elements. \newcommand*{\ideal}[1]{\operatorname{ideal}\of{{#1}}} +\ifdefined\newglossaryentry + \newglossaryentry{ideal}{ + name={\ensuremath{\ideal{X}}}, + description={the ideal generated by $X$}, + sort=i + } +\fi + % The polynomial ring whose underlying commutative ring of % coefficients is the first argument and whose indeterminates (a