I'm a part time lecturer in a university and conducted a research independently and I'm about to publish the result. I'm concerned about assigning the affiliation to the university. I'm afraid that I give them the power to limit my full rights over the paper. It's a paper with innovative ideas and I will continue to work on the ideas presented in this paper. I want to know exactly what the affiliated university can claim for if they want to? Can they claim for ideas in the paper as intellectual property of university?
The question is a legal one, so it would depend on what legal system you're subject to. Ideas per se cannot be legally owned, but via patent and copyright you can own the expression of ideas. With a patent, there is a legal process that you need to go through, to gain legal ownership over, say, a method of converting speech to text. If that's the case, you better get on filing right now. In the case of copyright, you basically don't have to do anything in the US, except if you need to sue for infringement and plan to go for statutory damages, then you need to register the work (also, registration is prima facie evidence of ownership of the work). But, you will have a copyright transfer or licensing agreement with the publishing venue. If the journal requires a transfer, you don't own the work anymore.
And, at any rate, your university can't claim ownership of the work, unless it can prove that this was a work for hire. The closest it could come would be if there is a condition in your employment agreement saying that anything you create is their property, then they could fire you and maybe sue you for not assigning the copyright to them. I am not a lawyer, but I seriously doubt that any clause that says something broad like "anything that you create is automatically our property" would be upheld in court. They can forbid you from claiming an affiliation, but you listing an affiliation does not create any property right for the university.
@user6726 may have a different opinion, but at least in the US, the intellectual property for everything you do as part of your job rests with your employer. Whether you list the employer or not on your paper has absolutely nothing to do with it.
Whether your employer will ultimately choose to enforce their ownership and share proceeds with you is of course a different matter. If you patent the idea, for example, you probably want a large institution to work with you on the paperwork, the marketing, the contracting, etc. You would rather quickly be out several $10,000 of your own money if you tried to commercialize things yourself. So there is a benefit to having your employer do these things for you. Of course, in reality, very few ideas produced at universities actually bring in even small amounts of money through commercialization.