plural of PID

Author: Xavier Caruso

src/sage/modules/ore_module.py

@@ -168,7 +168,7 @@
 
 - Xavier Caruso (2024-10)
 
-- Xavier Caruso (2025-08); add support for Ore modules over PID
+- Xavier Caruso (2025-08); add support for Ore modules over PIDs
 """
 
 # ***************************************************************************
@@ -1837,7 +1837,7 @@ def __classcall_private__(cls, ambient, gens, saturate, names):
             sage: M.span((X + x + y)*v)
             Traceback (most recent call last):
             ...
-            NotImplementedError: submodules and quotients are only implemented over PID
+            NotImplementedError: submodules and quotients are only implemented over PIDs
         """
         base = ambient.base_ring()
         if isinstance(gens, SubmoduleHelper):
@@ -2343,7 +2343,7 @@ def __classcall_private__(cls, cover, gens, remove_torsion, names):
             sage: M.quo((X + x + y)*v)
             Traceback (most recent call last):
             ...
-            NotImplementedError: submodules and quotients are only implemented over PID
+            NotImplementedError: submodules and quotients are only implemented over PIDs
         """
         base = cover.base_ring()
         if isinstance(gens, SubmoduleHelper):

src/sage/modules/submodule_helper.py

@@ -75,7 +75,7 @@ def __classcall_private__(self, mat, saturate=False):
             sage: SH = SubmoduleHelper(matrix(R, [[x, 3 + y]]))
             Traceback (most recent call last):
             ...
-            NotImplementedError: submodules and quotients are only implemented over PID
+            NotImplementedError: submodules and quotients are only implemented over PIDs
         """
         base = mat.base_ring()
         if base in Fields():
@@ -86,7 +86,7 @@ def __classcall_private__(self, mat, saturate=False):
         elif base in PrincipalIdealDomains():
             cls = SubmoduleHelper_PID
         else:
-            raise NotImplementedError("submodules and quotients are only implemented over PID")
+            raise NotImplementedError("submodules and quotients are only implemented over PIDs")
         return cls.__call__(mat, saturate)
 
     def __hash__(self):