<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> <!--Rendered using the Haskell Html Library v0.2--> <HTML ><HEAD ><META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=UTF-8" ><TITLE >semigroups-0.8: Haskell 98 semigroups</TITLE ><LINK HREF="haddock.css" REL="stylesheet" TYPE="text/css" ><SCRIPT SRC="haddock-util.js" TYPE="text/javascript" ></SCRIPT ></HEAD ><BODY ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD CLASS="topbar" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD ><IMG SRC="haskell_icon.gif" WIDTH="16" HEIGHT="16" ALT=" " ></TD ><TD CLASS="title" >semigroups-0.8: Haskell 98 semigroups</TD ><TD CLASS="topbut" ><A HREF="index.html" >Contents</A ></TD ><TD CLASS="topbut" ><A HREF="doc-index.html" >Index</A ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="section1" >semigroups-0.8: Haskell 98 semigroups</TD ></TR ><TR ><TD CLASS="doc" ><P >Haskell 98 semigroups </P ><P >In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup generalizes a monoid in that there might not exist an identity element. It also (originally) generalized a group (a monoid with all inverses) to a type where every element did not have to have an inverse, thus the name semigroup. </P ></TD ></TR ><TR ><TD CLASS="section1" >Modules</TD ></TR ><TR ><TD ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ><TR ><TD STYLE="width: 50em" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'n:0')" ALT="show/hide" >Data</TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding: 0; padding-left: 2em" COLSPAN="3" ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ID="n:0" STYLE="display:block;" ><TR ><TD STYLE="width: 48em" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'n:1')" ALT="show/hide" >List</TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding: 0; padding-left: 2em" COLSPAN="3" ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ID="n:1" STYLE="display:block;" ><TR ><TD STYLE="padding-left: 1.25em;width: 46em" ><A HREF="Data-List-NonEmpty.html" >Data.List.NonEmpty</A ></TD ><TD ></TD ><TD ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD STYLE="padding-left: 1.25em;width: 48em" ><A HREF="Data-Semigroup.html" >Data.Semigroup</A ></TD ><TD ></TD ><TD ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD STYLE="width: 50em" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'n:2')" ALT="show/hide" >Numeric</TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding: 0; padding-left: 2em" COLSPAN="3" ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ID="n:2" STYLE="display:block;" ><TR ><TD STYLE="width: 48em" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'n:3')" ALT="show/hide" ><A HREF="Numeric-Natural.html" >Numeric.Natural</A ></TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding: 0; padding-left: 2em" COLSPAN="3" ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ID="n:3" STYLE="display:block;" ><TR ><TD STYLE="padding-left: 1.25em;width: 46em" ><A HREF="Numeric-Natural-Internal.html" >Numeric.Natural.Internal</A ></TD ><TD ></TD ><TD ></TD ></TR ></TABLE ></TD ></TR ></TABLE ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="botbar" >Produced by <A HREF="http://www.haskell.org/haddock/" >Haddock</A > version 2.6.1</TD ></TR ></TABLE ></BODY ></HTML >