A problem with indexing (see also appearing instead of see)

Question

Hello I would like to add some terms that mean the same thing in the index of my thesis. For example "vector space" and "linear space". I wish this to appear as "vector space, see linear space". I'm using amsbook and for such an example I'm writing \index{vector space|see{linear space}}. However, it keeps on coming up as "see also" instead of "see". I don't know if this is a common problem but I couldn't find a solution anywhere on the web. Here's the code I'm using, without any chapter files - it still runs.

%-----------------------------------------------------------------------
% Beginning of amsbook.template
%-----------------------------------------------------------------------
%
%    AMS-LaTeX v.2 driver file template for use with amsbook
%
%    Remove any commented or uncommented macros you do not use.

\documentclass{amsbook}

%    For use when working on individual chapters
%\includeonly{}

%    Include referenced packages here.
\usepackage{amssymb,amscd,latexsym,amsxtra}
\usepackage[mathscr]{eucal}

\newtheorem{thm}{Theorem}[chapter]
\newtheorem{cor}[thm]{Corollary}
\newtheorem{lem}[thm]{Lemma}
\newtheorem{prop}[thm]{Proposition}
\newtheorem{ax}{Axiom}


\theoremstyle{definition}
\newtheorem{defn}[thm]{Definition}
\newtheorem{exmp}[thm]{Example}
\newtheorem{xca}[thm]{Exercise}
\newtheorem{prob}[thm]{Problem}

\theoremstyle{remark}
\newtheorem{rem}[thm]{Remark}
\newtheorem{claim}{Claim}
\newtheorem{case}{Case}
\newtheorem*{notation}{Notation}

\numberwithin{section}{chapter}
\numberwithin{equation}{chapter}
\numberwithin{figure}{chapter}
\numberwithin{table}{chapter}

%    For a single index; for multiple indexes, see the manual
%    "Instructions for preparation of papers and monographs:
%    AMS-LaTeX" (instr-l.pdf in the AMS-LaTeX distribution).
\makeindex

\begin{document}

\frontmatter

\title{}

%    Remove any unused author tags.

%    author one information
\author{}
\address{}
\curraddr{}
\email{}
\thanks{}

%    author two information
\author{}
\address{}
\curraddr{}
\email{}
\thanks{}

\subjclass[2000]{Primary }
%    For books to be published after 1 January 2010, you may use
%    the following version:
%\subjclass[2010]{Primary }

\keywords{}

\date{}

\begin{abstract}
\end{abstract}

\maketitle

%    Dedication.  If the dedication is longer than a line or two,
%    remove the centering instructions and the line break.
%\cleardoublepage
%\thispagestyle{empty}
%\vspace*{13.5pc}
%\begin{center}
%  Dedication text (use \\[2pt] for line break if necessary)
%\end{center}
%\cleardoublepage

%    Change page number to 6 if a dedication is present.
\setcounter{page}{4}

\tableofcontents

%    Include unnumbered chapters (preface, acknowledgments, etc.) here.
\include{}

\mainmatter

\index{Hello|see{Hi}}

%    Include main chapters here.
\include{}

\appendix
%    Include appendix "chapters" here.
\include{}

\backmatter
%    Bibliography styles amsplain or harvard are also acceptable.
\bibliographystyle{amsalpha}
\bibliography{}
%    See note above about multiple indexes.
\printindex

\end{document}

Answer 1

Put this line into the preamble.

\renewcommand*{\seename}{see}

Answer 2

The amsbook class has a slight different way of specifiying ‘see’ entries in the index. Here are the relevant lines

1314 \newcommand*\seeonlyname{see}
1315 \newcommand*\seename{see also}
1316 \newcommand*\alsoname{see also}
1317 \newcommand*\seeonly[2]{\emph{\seeonlyname} #1}
1318 \newcommand*\see[2]{\emph{\seename} #1}
1319 \newcommand*\seealso[2]{\emph{\alsoname} #1}

According to Barbara Beeton the definition of \seename was recognized as wrong when it was too late for changing it. Therefore the AMS classes added \seeonly.

So, if you have to submit the document to AMS, it's better to use

\index{Hello|seeonly{Hi}}

because a \renewcommand{\seename}{see} might be rejected by the editorial staff. For your personal use,

\renewcommand{\seename}{see}

is perfectly fine.