Relation between Noether's one-sided ideals and Polish notation?

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Given the definitions of one-sided ideals (right ideals; left ideals) bu Emmy Noether, as referred in this answer Noether's definition of right and left ideals?, I would like to raise the following question (I hope it is not far off the target): Is there any relation to Polish (and reverse Polish) notation? Somehow it seems like prefix, postfix to me.......

Prefix notation: + 2 5

Postfix notation: 2 5 +

Infix notation: 2 + 5

Thanks in advance.