Index: src/alter.c
==================================================================
--- src/alter.c
+++ src/alter.c
@@ -1074,11 +1074,11 @@
     }
     if( rc==SQLITE_OK && pStep->zTarget ){
       Table *pTarget = sqlite3LocateTable(pParse, 0, pStep->zTarget, zDb);
       if( pTarget==0 ){
         rc = SQLITE_ERROR;
-      }else{
+      }else if( SQLITE_OK==(rc = sqlite3ViewGetColumnNames(pParse, pTarget)) ){
         SrcList sSrc;
         memset(&sSrc, 0, sizeof(sSrc));
         sSrc.nSrc = 1;
         sSrc.a[0].zName = pStep->zTarget;
         sSrc.a[0].pTab = pTarget;

Index: src/build.c
==================================================================
--- src/build.c
+++ src/build.c
@@ -2285,10 +2285,14 @@
   ** statement that defines the view.
   */
   assert( pTable->pSelect );
   pSel = sqlite3SelectDup(db, pTable->pSelect, 0);
   if( pSel ){
+#ifndef SQLITE_OMIT_ALTERTABLE
+    u8 eParseMode = pParse->eParseMode;
+    pParse->eParseMode = PARSE_MODE_NORMAL;
+#endif
     n = pParse->nTab;
     sqlite3SrcListAssignCursors(pParse, pSel->pSrc);
     pTable->nCol = -1;
     db->lookaside.bDisable++;
 #ifndef SQLITE_OMIT_AUTHORIZATION
@@ -2330,10 +2334,13 @@
       nErr++;
     }
     sqlite3DeleteTable(db, pSelTab);
     sqlite3SelectDelete(db, pSel);
     db->lookaside.bDisable--;
+#ifndef SQLITE_OMIT_ALTERTABLE
+    pParse->eParseMode = eParseMode;
+#endif
   } else {
     nErr++;
   }
   pTable->pSchema->schemaFlags |= DB_UnresetViews;
   if( db->mallocFailed ){

Index: test/alter.test
==================================================================
--- test/alter.test
+++ test/alter.test
@@ -873,7 +873,25 @@
 do_execsql_test alter-16.2 {
   ALTER TABLE t16a RENAME TO t16a_rn;
   SELECT * FROM t16a_rn ORDER BY a;
 } {abc 1.25 99 xyzzy cba 5.5 98 fizzle}
 
-finish_test
+# 2018-09-16 ticket b41031ea2b5372378cb3d2d43cf9fe2a4a5c2510
+#
+ifcapable rtree {
+  db close
+  sqlite3 db :memory:
+  do_execsql_test alter-17.100 {
+    CREATE TABLE t1(a INTEGER PRIMARY KEY, b);
+    CREATE VIRTUAL TABLE t2 USING rtree(id,x0,x1);
+    INSERT INTO t1 VALUES(1,'apple'),(2,'fig'),(3,'pear');
+    INSERT INTO t2 VALUES(1,1.0,2.0),(2,2.0,3.0),(3,1.5,3.5);
+    CREATE TRIGGER r1 AFTER UPDATE ON t1 BEGIN
+      DELETE FROM t2 WHERE id = OLD.a;
+    END;
+    ALTER TABLE t1 RENAME TO t3;
+    UPDATE t3 SET b='peach' WHERE a=2;
+    SELECT * FROM t2 ORDER BY 1;
+  } {1 1.0 2.0 3 1.5 3.5}
+}
 
+finish_test

Index: test/altertab.test
==================================================================
--- test/altertab.test
+++ test/altertab.test
@@ -408,8 +408,58 @@
 }
 
 do_catchsql_test 13.2 {
   ALTER TABLE t2 RENAME b TO y;
 } {1 {error in trigger tr1 after rename: ambiguous column name: y}}
+
+#-------------------------------------------------------------------------
+reset_db
+
+ifcapable rtree {
+  do_execsql_test 14.0 {
+    CREATE VIRTUAL TABLE rt USING rtree(id, minx, maxx, miny, maxy);
+
+    CREATE TABLE "mytable" ( "fid" INTEGER PRIMARY KEY, "geom" BLOB);
+
+    CREATE TRIGGER tr1 AFTER UPDATE OF "geom" ON "mytable" 
+          WHEN OLD."fid" = NEW."fid" AND NEW."geom" IS NULL BEGIN 
+      DELETE FROM rt WHERE id = OLD."fid"; 
+    END;
+
+    INSERT INTO mytable VALUES(1, X'abcd');
+  }
+
+  do_execsql_test 14.1 {
+    UPDATE mytable SET geom = X'1234'
+  }
+
+  do_execsql_test 14.2 {
+    ALTER TABLE mytable RENAME TO mytable_renamed;
+  }
+
+  do_execsql_test 14.3 {
+    CREATE TRIGGER tr2 AFTER INSERT ON mytable_renamed BEGIN
+      DELETE FROM rt WHERE id=(SELECT min(id) FROM rt);
+    END;
+  }
+
+  do_execsql_test 14.4 {
+    ALTER TABLE mytable_renamed RENAME TO mytable2;
+  }
+}
+
+reset_db
+do_execsql_test 14.5 {
+  CREATE TABLE t1(a, b, c);
+  CREATE VIEW v1 AS SELECT * FROM t1;
+  CREATE TRIGGER xyz AFTER INSERT ON t1 BEGIN
+    SELECT a, b FROM v1;
+  END;
+}
+do_execsql_test 14.6 {
+  ALTER TABLE t1 RENAME TO tt1;
+}
+
+
 
 finish_test