A more thorough explanation:

Legal interruption refers to a break in the period of possession of land, which may end a claim to ownership by prescriptive right. In Louisiana law, legal interruption occurs when the property's possessor acknowledges another person's ownership rights, or the owner sues the possessor.

For example, if someone has been living on a piece of land for a long time and claiming ownership, but then the true owner sues them, this would be a legal interruption.

Inter se means "between or among themselves" and refers to a right or duty owed between parties rather than to others. For example, the law of nations is a branch of natural law that includes the rules of natural justice as applicable to the relations of states inter se.

An intersection is a place where two roads meet or form a junction. For example, when two roads cross each other at a stop sign, that is an intersection.