From: Jim Pryor Date: Tue, 2 Nov 2010 12:05:03 +0000 (-0400) Subject: cat theory tweaks X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=commitdiff_plain;h=13e875628b49325490f5b187994ae3f6580a6da1 cat theory tweaks Signed-off-by: Jim Pryor --- diff --git a/advanced_topics/monads_in_category_theory.mdwn b/advanced_topics/monads_in_category_theory.mdwn index 316d0274..8a21eb2f 100644 --- a/advanced_topics/monads_in_category_theory.mdwn +++ b/advanced_topics/monads_in_category_theory.mdwn @@ -22,12 +22,12 @@ Monoids A **monoid** is a structure `(S, *, z)` consisting of an associative binary operation `*` over some set `S`, which is closed under `*`, and which contains an identity element `z` for `*`. That is: -
-for all `s1`, `s2`, `s3` in `S`:
-(i) `s1*s2` etc are also in `S`
-(ii) `(s1*s2)*s3` = `s1*(s2*s3)`
+
+for all `s1`, `s2`, `s3` in `S`:
+(i) `s1*s2` etc are also in `S`
+(ii) `(s1*s2)*s3` = `s1*(s2*s3)`
 (iii) `z*s1` = `s1` = `s1*z`
-
+ Some examples of monoids are: