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## Main Question or Discussion Point

A statement in a book of analysis I have says:

(Q,+, .) is a commutative ring with an identity element.

I assume by its notation (Q,+,.) is a tuple.(correct?)

There are several questions that come to mind:

1. Why is there an order between Q,+ and . ?

2. As far as I know, a tuple is an element of a cartesian product of sets. A ring [itex]\subset[/itex] set. So in other words the book says that the tuple (Q,+,.) is a set. How can a tuple be a set? Isn't that like saying that an element is a set?

3. Of what is + an element of? The set of numeral operators? If so, why can't I find it on the web?

(Q,+, .) is a commutative ring with an identity element.

I assume by its notation (Q,+,.) is a tuple.(correct?)

There are several questions that come to mind:

1. Why is there an order between Q,+ and . ?

2. As far as I know, a tuple is an element of a cartesian product of sets. A ring [itex]\subset[/itex] set. So in other words the book says that the tuple (Q,+,.) is a set. How can a tuple be a set? Isn't that like saying that an element is a set?

3. Of what is + an element of? The set of numeral operators? If so, why can't I find it on the web?