PHP Many-to-many parent relation looped, how to do it right?

Question

PHP

Hey!
I have such a task - I need to make sure that the Field entity can be a child of any number of any Field entities. How I did it now:
Field(id, name) - field entity
FieldChildren(parent_id, child_id) - entity\table in which I store field-to-field relationships.
And I had problems immediately when displaying this data in the form of an HTML tree.
I received cyclic references to each other of these fields when printing a tree.
The question is, for sure, the problem is not new, what can be read on this topic, maybe some algorithm that will quickly detect such cycles and then I will already give an error that the connection is cyclic and it cannot be done.
Thank you!