diff --git a/src/test/java/org/jenkinsci/plugins/matrixauth/AuthorizationContainerDescriptorTest.java b/src/test/java/org/jenkinsci/plugins/matrixauth/AuthorizationContainerDescriptorTest.java
index 145e8507..0fd2df6d 100644
--- a/src/test/java/org/jenkinsci/plugins/matrixauth/AuthorizationContainerDescriptorTest.java
+++ b/src/test/java/org/jenkinsci/plugins/matrixauth/AuthorizationContainerDescriptorTest.java
@@ -1,5 +1,7 @@
 package org.jenkinsci.plugins.matrixauth;
 
+import hudson.model.Item;
+import hudson.model.Run;
 import hudson.security.GlobalMatrixAuthorizationStrategy;
 import jenkins.model.Jenkins;
 import org.junit.Assert;
@@ -7,9 +9,23 @@
 
 public class AuthorizationContainerDescriptorTest {
     @Test
-    public void overallAdministerDescriptionHasNoImpliedNote() {
-        String description = new GlobalMatrixAuthorizationStrategy.DescriptorImpl().getDescription(Jenkins.ADMINISTER);
-        Assert.assertFalse(description.contains(Messages.GlobalMatrixAuthorizationStrategy_PermissionNotImpliedBy()));
-        Assert.assertFalse(description.contains(Messages.GlobalMatrixAuthorizationStrategy_PermissionImpliedBy(Jenkins.PERMISSIONS.title.toString(), Jenkins.ADMINISTER.name)));
+    public void testImpliedNotes() {
+        { // no message on Administer
+            String description = new GlobalMatrixAuthorizationStrategy.DescriptorImpl().getDescription(Jenkins.ADMINISTER);
+            Assert.assertFalse(description.contains(Messages.GlobalMatrixAuthorizationStrategy_PermissionNotImpliedBy()));
+            Assert.assertFalse(description.contains(Messages.GlobalMatrixAuthorizationStrategy_PermissionImpliedBy(Jenkins.PERMISSIONS.title.toString(), Jenkins.ADMINISTER.name)));
+        }
+
+        { // Run.ARTIFACTS is not implied by other permissions
+            String description = new GlobalMatrixAuthorizationStrategy.DescriptorImpl().getDescription(Run.ARTIFACTS);
+            Assert.assertTrue(description.contains(Messages.GlobalMatrixAuthorizationStrategy_PermissionNotImpliedBy()));
+            Assert.assertFalse(description.contains(Messages.GlobalMatrixAuthorizationStrategy_PermissionImpliedBy(Jenkins.PERMISSIONS.title.toString(), Jenkins.ADMINISTER.name)));
+        }
+
+        { // Item.CANCEL is implied by Item.BUILD (at least up to core 2.111)
+            String description = new GlobalMatrixAuthorizationStrategy.DescriptorImpl().getDescription(Item.CANCEL);
+            Assert.assertFalse(description.contains(Messages.GlobalMatrixAuthorizationStrategy_PermissionNotImpliedBy()));
+            Assert.assertTrue(description.contains(Messages.GlobalMatrixAuthorizationStrategy_PermissionImpliedBy(Item.PERMISSIONS.title.toString(), Item.BUILD.name)));
+        }
     }
 }