Possibility of publishing

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First little background. I have master degree in mathematics. Then I decided to continue to study PhD level. After some years I cancel study (reason was in some things in my life). Now I am returning back to mathematics. I have job, but I do mathematics in my free time. Is it possible to publich some article in some journal, if I am not connected to any university or research institute?(I am aware about review process in mathematical journals)

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Of course you can. But since you want to publish something maybe it would be better to consider re-entering a PhD program in order to spend more time doing math. There you will have more opportunities to do research and publish your work.