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5 votes

Is there some example that nicely extends the multiplication of natural numbers?

Edit (following the clarifications of the OP): This is not an answer, it is rather a long comment. Studying this kind of questions is part of the mission of factorization theory: The language of the t …
Salvo Tringali's user avatar
0 votes

Is there some example that nicely extends the multiplication of natural numbers?

[I'm adding a new (non-)answer since what follows has almost nothing to do with my previous one.] Fix a real number $\alpha \ge 1$ and set $S_\alpha := \mathbb N \cup \mathbb R_{\ge \alpha}$. Of cours …
Salvo Tringali's user avatar