If you wish to encompass the entire character string, you must use ^ and $ in the search:
mysql>
mysql>
mysql> SELECT 'abc' REGEXP '^abc$', 'abcabc' REGEXP '^abc$';
+----------------------+-------------------------+
| 'abc' REGEXP '^abc$' | 'abcabc' REGEXP '^abc$' |
+----------------------+-------------------------+
| 1 | 0 |
+----------------------+-------------------------+
1 row in set (0.00 sec)
mysql>
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