I found that the given SELECT statement does not always return the proper schema name. This is far more reliable, and handles the instances where DML triggers are attached to views as well as tables:
SELECT ISNULL(tbl.name, vue.name) AS [schemaName]
, trg.name AS triggerName
FROM sys.triggers trg
LEFT OUTER JOIN (SELECT tparent.object_id, ts.name
FROM sys.tables tparent
INNER JOIN sys.schemas ts ON TS.schema_id = tparent.SCHEMA_ID)
AS tbl ON tbl.OBJECT_ID = trg.parent_id
LEFT OUTER JOIN (SELECT vparent.object_id, vs.name
FROM sys.views vparent
INNER JOIN sys.schemas vs ON vs.schema_id = vparent.SCHEMA_ID)
AS vue ON vue.OBJECT_ID = trg.parent_id
ORDER BY trg.name