tiny change

Author: SumnerSt

source/ch-invarianttheory.ptx

@@ -24,7 +24,7 @@ in the open-source Computer Algebra System <url href="http://www2.macaulay2.com"
         <p>
           We finish the chapter with a selection of examples that illustrate the current capabilities of the InvariantRing package.
           You can run the provided code in your local installation of M2 or go to the online version and execute the code cells on your browser.
-          Works well even on mobile devices!
+          This works well even on mobile devices!
         </p>
     </introduction>
 
@@ -71,8 +71,8 @@ x \\
         via its action on a finite dimensional vector space <m>V </m> over a field <m>K </m> of characteristics zero. 
         In general, most of the results in this chapter hold in the non-modular case 
         i.e., when the characteristics of the field does not divide the order of the group. 
-        However finite fields are not fully supported by the current version of the InvariantRing package 
-        and the development of such functionalities is an active area of development.  
+        As of now finite fields are not fully supported by the current version of the InvariantRing package 
+        and such functionalities is an active area of development.  
 </p>
 
 <p>
@@ -203,7 +203,7 @@ and we can check that <m>R_G(x+y)=x</m> is indeed invariant.
         <title>Hilbert Ideal</title>
         <p>
                 To describe a more sophisticated approach to the search for minimal algebra generators for an invariant ring, we will actually need to consider an ideal instead!
-  Note: for amy <m>\{ f_1,..., f_s\} \subseteq R</m>, the ideal generatd by <m>\{f_1,...f_s\}</m> 
+  Note: for any <m>\{ f_1,..., f_s\} \subseteq R</m>, the ideal generatd by <m>\{f_1,...f_s\}</m> 
   and the subalgebra generated by  <m>\{f_1,...f_s\}</m> over <m>\mathbb{K}</m> are very different objects.
        </p>
        <definition xml:id="def-">