Muslims believe that Quran revelation is the word of Allah - Islamic God through Jibrail to Prophet Muhammad in Surah (96) al Alaq.
Strangely, in Quran 33:43/1:1/17:87/110 etc... etc...; there seems to be Allah glorifying another Allah.
Let's take Quran 61:1 as an example;
(Pickthall)
"All that is in the heavens and all that is in the earth glorifieth Allah, and He is the Mighty, the Wise."