if termination of the job is your own fault, we call it self-inflicted unemployment (in danish: "selvforskyldt ledig"). This will give you 3 weeks quarantine before you can begin to receive Unemployment benefits.
There are several valid reasons that can result in that your A-kasse do not consider your termination of the job as your own fault.
The valid reasons can ONLY be one of the following:
Personality conflicts and disagreements with the Boss are NOT valid reasons.
So I think your only chance to avoid the 3 weeks quarantine is if your employer have significantly violated the job contract or the general terms of employment - but according to what you tell us, this seems not to be the case.
Hope this helps you. You are welcome to comment this.